e3r2a1cakCh7

2022-12-03

The matrix equation is not solved correctly. Expain the mistake and find the correct solution. Assume that the indicated inverses exist.
$XA=B,X={A}^{-1}B$

Mylee Mcintyre

Expert

Given $XA=B,X={A}^{-1}B$
$\because XA=B$
multiply by ${A}^{-1}$ bath side form sight
$XA{A}^{-1}=B{A}^{-1}⇒X=B{A}^{-1}$

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