How can two matrices be equal?

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Answer 1 · 2018-06-17T16:59:08

two matrices are equal if and only if they are of the same order and each corresponding element is equal

examples

#(1) ((1,2),(3,4)) "and "((a,b),(c,d))#

are equal only if

#a=1,b=2,c=3,d=4#

#(2) ((1,2),(3,4)) " and "((a,b),(c,d),(e,f))#

can not equal because they are of different orders

#(3) ((1,2),(3,4)) " and "((6,b),(c,d))#

can not be equal since the first element in the first matrix is 1, and 6 in the second, so one of the corresponding elements are not the same