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Mathematics Question on Transpose of a Matrix

If the transpose of matrix A is matrix B, where A=[2a13b 124c 560]A=\begin{bmatrix} 2a & 1 & 3b \\\ 1 & 2 & 4c \\\ 5 & 6 & 0 \end{bmatrix}and B=[415 126 930]B=\begin{bmatrix} 4 & 1 & 5 \\\ 1 & 2 & 6 \\\ 9 & 3 & 0 \end{bmatrix}then the value of 3a + 2b + 4c is :

A

234\frac{23}{4}

B

9

C

15

D

17

Answer

15

Explanation

Solution

The correct option is (C) :15.