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Question: If A = \(\begin{bmatrix} 0 & 2 & 0 \\ 0 & 0 & 3 \\ –2 & 2 & 0 \end{bmatrix}\) and B = \(\begin{bmatr...

If A = [020003–220]\begin{bmatrix} 0 & 2 & 0 \\ 0 & 0 & 3 \\ –2 & 2 & 0 \end{bmatrix} and B = [1233455–40]\begin{bmatrix} 1 & 2 & 3 \\ 3 & 4 & 5 \\ 5 & –4 & 0 \end{bmatrix}, then the element of 3rd row and third column in AB will be

A

– 12

B

4

C

– 18

D

None of these

Answer

4

Explanation

Solution

(AB)33 = –2 × 3 + 2 × 5 + 0 = – 6 + 10 = 4