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Question

Mathematics Question on Matrices

If A=[1−21 213 ] B=[21 32 11 ]A=\begin{bmatrix} 1 & -2 & 1 \\\ 2 & 1 & 3 \\\ \end{bmatrix}\ B=\begin{bmatrix} 2 & 1 \\\ 3 & 2 \\\ 1 & 1 \\\ \end{bmatrix} then (AB)' is equal to

A

[−3−2 107 ]\begin{bmatrix} -3 & -2 \\\ 10 & 7 \\\ \end{bmatrix}

B

[−310 −27 ]\begin{bmatrix} -3 & 10 \\\ -2 & 7 \\\ \end{bmatrix}

C

[−37 102 ]\begin{bmatrix} -3 &7 \\\ 10 & 2 \\\ \end{bmatrix}

D

[−37 10−2 ]\begin{bmatrix} -3 &7 \\\ 10 & -2 \\\ \end{bmatrix}

Answer

[−310 −27 ]\begin{bmatrix} -3 & 10 \\\ -2 & 7 \\\ \end{bmatrix}

Explanation

Solution

The correct answer is () :