Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

If A is a matrix and $|A|≠0$, then solution of the equation $XA = B$ is:

Options:

$X=A^{-1}B$

$X=\frac{1}{|A|}B$

$X=BA^{-1}$

$X=AB^{-1}$

Correct Answer:

$X=BA^{-1}$

Explanation:

$A→|A|≠0$

$XA=B$   (post multiplying with $A^{-1}$)

$XAA^{-1}=BA^{-1}$ 

$X=BA^{-1}$