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Question

Mathematics Question on Matrices

If (21 32 )A=(10 01 )\begin{pmatrix} 2 & 1 \\\ 3 & 2 \\\ \end{pmatrix}A=\begin{pmatrix} 1 & 0 \\\ 0 & 1 \\\ \end{pmatrix}, then the matrix A is

A

(21 32 )\begin{pmatrix} 2 & 1 \\\ 3 & 2 \\\ \end{pmatrix}

B

(21 32 )\begin{pmatrix} 2 & -1 \\\ -3 & 2 \\\ \end{pmatrix}

C

(21 32 )\begin{pmatrix} -2 & 1 \\\ 3 & -2 \\\ \end{pmatrix}

D

(21 32 )\begin{pmatrix} 2 & -1 \\\ 3 & 2 \\\ \end{pmatrix}

Answer

(21 32 )\begin{pmatrix} 2 & -1 \\\ -3 & 2 \\\ \end{pmatrix}

Explanation

Solution

The correct answer is (B) : (21 32 )\begin{pmatrix} 2 & -1 \\\ -3 & 2 \\\ \end{pmatrix}.