xtra1234 xtra1234

10-10-2016
Mathematics

Answered

Given the following matrices A and B, find an invertible matrix U such that UA = B:

Verified Answer :

Nirina7 Nirina7

24-10-2016

A
and B must be invertible, we have UA=B, since A is invertible. A^-1 exists, by multiplying with A^-1,
we have UA A^-1 =B A^-1. But AA^-1 = I (identity matrix)
and XI=X, for all matrix X, we find UI= B A^-1, and U= B A^-1.

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