Answer
$X=A^{-1}B$
Work Step by Step
Matrix equation : AX=B
(multiply $A^{-1}$ on both sides)
$A^{-1}$AX=$A^{-1}$B
and since $A^{-1}$A=I
Hence, $X=A^{-1}B$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 10 - 10.3 - The Inverse of a Square Matrix - 10.3 Exercises - Page 734: 4
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