WBJEE · Maths · Matrices
If \(M\) is a \(3 \times 3\) matrix such that \((0~1~2) M=(1~0~0),(3~4~5) M=(0~1~0)\), then \((6~7~8) M\) is equal to
- A \((\left.\begin{array}{llll}2 & 1 & -2\end{array}\right)\)
- B \((\left.\begin{array}{llll}0 & 0 & 1\end{array}\right)\)
- C \((\left.\begin{array}{llll}-1 & 2 & 0\end{array}\right)\)
- D \((\left.\begin{array}{llll}9 & 10 & 8\end{array}\right)\)
Answer & Solution
Correct Answer
(C) \((\left.\begin{array}{llll}-1 & 2 & 0\end{array}\right)\)
Step-by-step Solution
Detailed explanation
\(\left(\begin{array}{lll}0 & 1 & 2\end{array}\right) \mathrm{m}=\left(\begin{array}{lll}1 & 0 & 0\end{array}\right)\) ....(i) \(\left(\begin{array}{lll}3 & 4 & 5\end{array}\right) \mathrm{m}=\left(\begin{array}{lll}0 & 1 & 0\end{array}\right)\)…
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