Please explain this concept of Linear algebra ( Matrices and Vector ) ?
Case 1 : When Matrix is multiplied with a Column Vector ie #Ax#
Case 2 : When a Scalar is multiplied to a Column Vector ie #lambdax#
If #Ax = lambdax# ;
Here the Matrix #A# and the scalar #lambda# are not equal (bcoz matrix and scalar are totally different things) then how their products with vector #x# is equal ??
!!! plz give some nice explanation !!!
Case 1 : When Matrix is multiplied with a Column Vector ie
Case 2 : When a Scalar is multiplied to a Column Vector ie
If
Here the Matrix
!!! plz give some nice explanation !!!
1 Answer
See below.
Explanation:
The basic rule you need to understand is that when you multiply two matrices
The rule states that, if
Also, you can consider vectors as special matrices, having only one row (or column).
Let's say that in your case
And thus
In the same way,
So, being both vectors of the same shape
P.S. Note that it is necessary for