Multiplication of Matrices
Topic Page
Multiplication of Matrices
Questions
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What is multiplication of matrices?
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How do I do multiplication of matrices?
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What is scalar multiplication of matrices?
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What are some sample matrix multiplication problems?
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How do I multiply the matrix #((6, 4, 24),(1, -9, 8))# by 4?
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How do I multiply the matrix #((3, 0, -19),(0, 7, 1), (1, 1/5, 2/3))# by -6?
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How do I multiply the matrix #((6, 4, 24),(1, -9, 8))# by the matrix #((1, 5, 0), (3, -6, 2))#?
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Is matrix multiplication associative?
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If #A=((-4, 5),(3, 2))# and #B=((-6, 2), (1/2, 3/4))#, what is #AB#?
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In matrix multiplication, does ABC=ACB?
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How do I multiply a 1x2 matrix by a 2x3 matrix?
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How do you multiply #(4, 5)(3, 4)# by #(3, 0)(0, 3)#?
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In matrix multiplication, is (A-B)(A+B) = A^2-B^2?
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If you multiply a 2x2 matrix and a 2x1 matrix the product is a 2x1 matrix?
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For matrix multiplication, how do I prove that if AB=AC, B may not equal C?
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Question #48675
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Let A be a 5 by 7 , B be a 7 by 6 and C be a 6 by 5 matrix. How to determine the size of the following matrices ?
AB, BA, A^TB, BC, ABC , CA ,B^TA , BC^T
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How to solve X ?
#((-5,5),(-2,5))*X = ((4,5),(5,-1))#
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How do you multiply the matrices #((2, 1), (3, 0), (7, 4))# with #((2, 4), (1, 6))#?
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How do you multiply the matrices #((2, 3), (1, -3))# with #((-1, 0, 2), (0, 2, 3))#?
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How do you multiply the matrices #((1, 2), (3, 4))# with #((5, 6, 7), (8, 9, 10))#?
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How do you multiply the matrices #((2, 1), (3, 0), (7, 4))# with #((2, 4), (5, 6))#?
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How do you find A^2 given #A=((1, 3, 2))#?
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A is a 3x3 matrix and #A^-1 = ([3, 0, -1],[0, 8, 7],[-2, 3, 4])#. If B is another matrix and #BA = ([4, -3, 7],[-1, 0, 2])#, how do you find the matrix B?
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How do you multiply #((2, 3, -1), (-1, 0, 5))# with #((1, 0, 2), (1, 2, 1), (3, 5, 3))#?
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How do you simplify #3((10, -3), (5, 7))+2((-8, 0), (-6, 11))#?
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What will be the dimensions of the resulting matrix found by multiplying a 2 by 5 matrix and a 5 by 3?
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What are the dimensions of the resulting matrix found by multiplying a 2 by 3 matrix and a 4 by 2 matrix?
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What is the product of #((1, 2), (3, 4))# and #((5, 6, 7), (8, 9, 10))#?
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How do you multiply #((1, -4), (4, -1))# and #((3, -2), (0, -3))#?
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How do you multiply #((1, -3, 2), (2, 1, -3), (4, -3, -1))# and #((1, 4, 1, 0), (2, 1, 1, 1), (1, -2, 1, 2))#?
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How do you multiply #((1, -3, 2), (2, 1, -3), (4, -3, -1))# and #((2, 1, -1, -2), (3, -2, -1, -1), (2, -5, -1, 0))#?
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How do you find AB if #A=((-3, -7, -9), (2, -4, -1), (4, 2, -1))# and #B=((-9, -1, 3), (3, -7, 3), (4, 9, -9))#?
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How do you multiply #((1, 3))# with #((-1, 2, 2, 4))#?
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How do you multiply #((-5, 4))# with #((5, 4, 3, 2))#?
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How do you multiply ABC if #A=((3, 10), (1, 2))#, #B=((1, 0, 4), (2, -1, 5))#, #C=((3), (1), (1))#?
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How do you multiply #((2, 1, 0, 0), (3, 4, 2, 1), (-1, 0, 0, 1), (0, 1, 0, 0))# and #((1, 0, 0, 0), (0, 0, 1, 1), (1, 1, -1, 0), (1, 2, 3, 0))#?
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How do you multiply #((-2, -5, 3), (3, -1, 2), (1, 4, -2))# with #((1, 4, 3), (-3, -3, 2), (-2, -1, -2))#?
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How do you square #((3, 1), (4, 2))#?
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How do you multiply #((1, 2), (3, 4))# and #((a, b))#?
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How do you multiply #((2, -1), (3, 4))^4#?
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How do you multiply #((0, 6), (5, -5))# and #((1, 1, 1), (0, 0, -2))#?
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How do you multiply #((5, -2, 1))# and #((1, 2))#?
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How do you multiply #((-8, 4), (9, 9), (6, 7))# and #((6, 8, 2), (2, 4, 7))#?
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How do you multiply #((0, 1, 0), (6, -3, 1), (-1, 4, -2)))# and #((6, 7, 1), (2, 10, 5), (1, -10, 9))#?
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How do you multiply #((3, -2), (-1, 1))# with #((3, 1), (-2, 4))# with #((-2, 4), (1, 3))#?
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How do you multiply #((2, 1), (-1, 0))# by #((4, 2), (3, -1))#?
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How do you multiply #((12, 11))# with #((6), (13))#?
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How do you multiply #((2, -3), (5, 1))# by #((1, -3, 4), (2, 4, 3))#?
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How do you multiply #((4, 0), (-1, 3), (2, -5))# with #((1),( -3))#?
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How do you multiply #((3, 1, -2, 0), (1, 4, -2, -2), (-2, 0, 7, -3), (-1, 3, -1, 2))# with #((1, 1), (1, -2), (-3, 2), (4, 5))#?
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How do you multiply #((2, 0, -1, 0), (0, 1, 5, 1), (-1, 3, -2, 0))# with #((1, 2), (2, 5), (3, -1), (4, 0))#?
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How do you multiply #((4, 7, 2), (3, 5, 9))# with #((2, 11), (1, 8), (10, 12))#?
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How do you multiply #((0, 1, 0), (2, -1, 1), (0, 2, -1))# with #((-1, 2, 0), (4, 6, 0), (1, 0, 1))#?
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How do you multiply #((2, 1, 2), (0, -1, 3))# and #((4, 7), (-2, -1), (0, 3))#?
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How do you multiply #((1, -2), (-4, 3))# with #((-5, 2))#?
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How do you multiply #((0, 2, 1), (-5, -1, 0))# with #((1, -4), (0, 1), (5, -1))#?
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How do you multiply #((2, 3), (4, 5))# with #((27, 12), (47, 22))#?
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Given #A=((-1, 2), (3, 4))# and #B=((-4, 3), (5, -2))#, how do you find 3A?
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Given #A=((-1, 2), (3, 4))# and #B=((-4, 3), (5, -2))#, how do you find A-2B?
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Given #A=((-1, 2), (3, 4))# and #B=((-4, 3), (5, -2))#, how do you find AB?
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Given #A=((-1, 2), (3, 4))# and #B=((-4, 3), (5, -2))#, how do you find BA?
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Given #A=((-1, 2), (3, 4))# and #B=((-4, 3), (5, -2))#, how do you find #A^-1#?
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Given #A=((-1, 2), (3, 4))# and #B=((-4, 3), (5, -2))#, how do you find #B^-1#?
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How do you multiply #((2, 1), (3, 4))# and #((3, 5, -2), (4, 6, -3))#?
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How do you cube a matrix #([2, -1], [3, 1])#?
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How do you multiply #((2, 8), (6, 3))# with #((3, 0), (2, -1))#?
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How do you multiply #((-1, 0), (0, -1))# with #((-1, -3, -3, 2), (3, -1, -2, 1))#?
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How do you multiply #[(4,-6),(2,-3)]^3#?
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How do you multiply #((1, 2, 1), (-1, -1, -2), (-1, 1, -2))# with #((1, -2), (0, -1), (-1, 1))#?
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How do you find #M^2# given #M=((2,0), (0, 2))#?
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How do you find #P^2# given #P=((3, 1), (1, 3))#?
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How do you multiply #A = ((1,0,2),(3,-1,0),(0,5,1))# with #B = ((1,1,0),(0,2,1),(3,-1,0))#?
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How do you multiply #((0, 2, 1), (-5, -1, 0))# and #((1, -4, 0), (1, 5, -1))#?
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How do you multiply #((2), (1))# with #((1, 2, 4), (-2, 3, 1))#?
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How do you multiply #((1, 2, 12), (13, 2, 1))# with #((4, 8), (4, 3), (5, 2))#?
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How do you multiply matrices given #A=((0, 2, 1), (-5, -1, 0))# and #B=((1, -4), (0, 1), (5, -1))#?
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How do you multiply matrices #((2,3), (1, -3))# and #B=((-1, 0, 2), (0, 2, 3))#?
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How do you multiply matrices #A =((1, 2, 1), (-1, -1, 2), (-1, 1, -2))# and #B=((1, -1), (0, -1), (-1, 1))#?
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How do you multiply matrices #((3, -2), (3, 1), (-2, 4))# and #((3, 1), (-2, 4))# and #((-2, 4), (1, 3))#?
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How do you compute the matrix AB given #A=((3,0),(-1,5))# and #B=((0,4,-1), (-3,3,-5))#?
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How do you simplify #3[(6,-1,5,3),(7,3,-2,8)]#?
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How do you simplify #3[(2,7),(-3,6)]+5[(-6,-4),(3,0)]#?
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Given the matrices #A=[(5,7),(-1,6), (3,-9)], B=[(8,3), (5,1), (4,4)], C=[(0,4),(-2,5), (7,-1)], D[(6,2), (9,0), (-3,0)]#, how do you find 4C?
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Question #4ca6c
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How do you find the values of x given #[(x,4,1)][(2,1,0), (1, 0, 2), (0, 2, 4)][(x), (-7), (5/4)]=0#?
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How do you find AB if #A=[(4,3), (7,2)]# and #B=[(8,5),(9,6)]#?
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How do you multiply #[(8,-7), (-4,0)]# by 3/4?
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How do you multiply #[(1,2,4), (-1,3,0)]*[(2,-4), (3,5), (-1,0)]#?
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How do you find 4X given #X=[(4,1), (-2,6)]# and #Y=[(0,-3)]# and #Z=[(-1,3), (0,-2)]#?
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How do you find ZY given #X=[(4,1), (-2,6)]# and #Y=[(0,-3)]# and #Z=[(-1,3), (0,-2)]#?
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How do you find YX given #X=[(4,1), (-2,6)]# and #Y=[(0,-3)]# and #Z=[(-1,3), (0,-2)]#?
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How do you multiply #[(5,6), (7,8)][(1,2),(3,4)]#?
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How do you find a #2xx2# matrix #A# with rational coefficients such that #A^2+A+((1,0),(0,1)) = ((0,0),(0,0))# ?
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How do you find the product of #[(1,2), (3,4)][(-1),(3)]#?
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If #M = ((0,0,0,0,-2),(1,0,0,0,-4),(0,1,0,0,0),(0,0,1,0,0),(0,0,0,1,0))# and #A# is an invertible rational #5xx5# matrix which commutes with #M#, then is #A# necessarily expressible as #A = aM^4+bM^3+cM^2+dM+e# for some scalar factors #a, b, c, d, e#?
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If #A,B,C# are matrices then determine if the following statements are correct?
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How can I divide two matrices together?
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Why is #arcsin(sin(12pi))# = 0 and not 0 and #2pi#?
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If #M = ((0,0,-1),(1,0,-1),(0,1,0))# and #A# is an invertible rational #3xx3# matrix which commutes with #M#, then is #A# necessarily expressible as #A = aM^2+bM+cI_3# for some scalar factors #a, b, c#?
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Question #47d0a
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Question #f4e98
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I was given a math question on matrices where i was asked to multiply a 2x2 matrix by a 3x3 matrix but couldn't come up with an answer. It's confusing, a little help here please. Or should i just say its undefine??
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Is the set of all 3 × 3 matrices that have the vector #[2, 1 , -2]^T# as an eigenvector closed under addition?
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Is the set of all #2 × 2# matrices whose trace is equal to #0# closed under scalar multiplication?
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How to find #B^(-1)#?;We know that #B^2=B+2I_3#
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#f:M_2(RR)->M_2(RR);f(X)=AXA^(-1);A inM_2(RR);A-#inversable;How to demonstrate that #f# is an bijective function?
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How to find #a#,such that #BC=I_3#?;#A=((1,3,2),(3,9,6),(2,6,4));B=I_3+A;C=I_3+aA;a inRR#
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If #A=[(2,-1),(3,0),(1,2)]# and #B=[(3,2),(1,1)]#, find #2AB#?
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How to determine #a# and #b# so that the real matrix #((a,1,b),(b,a,1),(1,b,a))# is orthogonal matrix ?
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Question #61a4e
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Given #A=((0,1),(0,1))#. Let say #T# linear operator on #R^(2x2)# with #T(X)=AX-XA#, #AAX in R^(2x2)#. How to determine #rank(T)# ?
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#A_n# is a matrix in size #n xx n#. Diagonal entry of A are #0# and the other entry are #-1#. How to determine eigenvalue of #A_n# ?
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Suppose a 2 × 2 matrix A has an eigenvector (1 2) , with corresponding eigenvalue −4. what is A(-2 -4) ?
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Question #0ab0c