If A is an orthogonal matrix of order 3 and \[B=\left[ \begin{matrix} 1 & 2 & 3 \\ -3 & 0 & 2 \\ 2 & 5 & 0 \\ \end{matrix} \right],\] then which of the following is/are correct? 1. \[|AB|=\pm 47\] 2. \[AB=BA\] Select the correct answer using the code given below:

If A is an orthogonal matrix of order 3 and \[B=\left[ \begin{matrix}

1.	If A is an orthogonal matrix of order 3 and \[B=\left[ \begin{matrix} 1 & 2 & 3 \\ -3 & 0 & 2 \\ 2 & 5 & 0 \\ \end{matrix} \right],\] then which of the following is/are correct? 1. \[\|AB\|=\pm 47\] 2. \[AB=BA\] Select the correct answer using the code given below:
A.	1 only
B.	2 only
C.	Both 1 and 2
D.	Neither 1 nor 2
Answer» D. Neither 1 nor 2

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If A is an orthogonal matrix of order 3 and \[B=\left[ \begin{matrix} 1 & 2 & 3 \\ -3 & 0 & 2 \\ 2 & 5 & 0 \\ \end{matrix} \right],\] then which of the following is/are correct? 1. \[|AB|=\pm 47\] 2. \[AB=BA\] Select the correct answer using the code given below:

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