How can we represent a given matrix as the product of two other matrices?
1 Answer
May 21, 2017
See explanation...
Explanation:
Given a matrix
#M = IM = (A A^(-1))M = A (A^(-1)M)#
For example, given
Then
So:
#A^(-1)M = ((1, -1),(0, 1))((1, 2),(3, 4)) = ((-2, -2),(3, 4))#
and we find:
#((1, 1),(0, 1))((-2, -2),(3, 4)) = ((1, 2),(3, 4))#
as required.