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Question

Mathematics Question on Matrices

If AB=[43\54]AB=\begin{bmatrix} 4&3\\\5&4 \end{bmatrix} and A−1=[3−2−11]A^{-1}=\begin{bmatrix} 3&-2\\\\-1&1 \end{bmatrix}, then B=

A

[21\12]\begin{bmatrix} 2&1\\\1&2 \end{bmatrix}

B

[12\21]\begin{bmatrix} 1&2\\\2&1 \end{bmatrix}

C

[12\11]\begin{bmatrix} 1&2\\\1&1 \end{bmatrix}

D

[11\12]\begin{bmatrix} 1&1\\\1&2 \end{bmatrix}

E

[21\11]\begin{bmatrix} 2&1\\\1&1 \end{bmatrix}

Answer

[21\11]\begin{bmatrix} 2&1\\\1&1 \end{bmatrix}

Explanation

Solution

The correct option is (E): [21\11]\begin{bmatrix} 2&1\\\1&1 \end{bmatrix}