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Mathematics Question on Matrix

If A=[10\[0.3em]2−1]\begin{bmatrix} 1&0 \\\[0.3em] 2&-1 \end{bmatrix} B= [37\[0.3em]48]\begin{bmatrix} 3&7 \\\[0.3em] 4&8 \end{bmatrix} and C = [−11\[0.3em]00]\begin{bmatrix} -1&1 \\\[0.3em] 0&0 \end{bmatrix}. The value of A+ (B+C) is

A

[37\[0.3em]68]\begin{bmatrix} 3&7 \\\[0.3em] 6&8 \end{bmatrix}

B

[67\[0.3em]38]\begin{bmatrix} 6&7 \\\[0.3em] 3&8 \end{bmatrix}

C

[83\[0.3em]76]\begin{bmatrix} 8&3 \\\[0.3em] 7&6 \end{bmatrix}

D

[38\[0.3em]67]\begin{bmatrix} 3&8 \\\[0.3em] 6&7 \end{bmatrix}

Answer

[38\[0.3em]67]\begin{bmatrix} 3&8 \\\[0.3em] 6&7 \end{bmatrix}

Explanation

Solution

The correct option is (D)