A) 1 only
B) 2 only
C) Both 1 and 2
D) Neither 1 nor 2
Correct Answer: C
Solution :
[c] The determinant of a orthogonal matrix is always \[\pm 1\] \[|A|=\pm 1\] \[B=\left[ \begin{matrix} 1 & 2 & 3 \\ -3 & 0 & 2 \\ 2 & 5 & 0 \\ \end{matrix} \right]\] \[|B|=-10-2(-4)+3(-15)\] \[=-47\] \[|AB|=|A||B|\] \[=(\pm 1)(-47)\] \[=\pm 47\] Taking A as identity matrix we can prove\[AB=BA\]You need to login to perform this action.
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