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Question

Mathematics Question on Matrix

If A=x1\1xA=\begin{vmatrix}x&1\\\1&x\end{vmatrix} and B=x11\1x1\11xB=\begin{vmatrix}x &1&1\\\1& x&1 \\\1&1&x \end{vmatrix},then dBdx\frac{dB}{dx} is

A

3A

B

–3B

C

3B + 1

D

1 – 3A

Answer

3A

Explanation

Solution

The correct answer is Option (A) : 3A