1. Tardigrade
  2. Question
  3. Mathematics
  4. Consider two matrices A=[1 -2 3 1 -1 2] and B=[1 b-a -1 a 1 2] where a, b ∈ domain of the function f(x)=√- log 2|(2/π) sin -1((x+3/5))| [Note: operatornameTr .( P ) denotes the trace of square matrix P and adj.(P) denotes the adjoint matrix of square matrix P. If operatornameTr.(BA) is maximum then the value of det. (BA) is equal to

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Q. Consider two matrices $A=\begin{bmatrix}1 & -2 \\ 3 & 1 \\ -1 & 2\end{bmatrix}$ and $B=\begin{bmatrix}1 & b-a & -1 \\ a & 1 & 2\end{bmatrix}$
where $a, b \in$ domain of the function $f(x)=\sqrt{-\log _2\left|\frac{2}{\pi} \sin ^{-1}\left(\frac{x+3}{5}\right)\right|}$
[Note : $\operatorname{Tr} .( P )$ denotes the trace of square matrix $P$ and adj.(P) denotes the adjoint matrix of square matrix $P$.
If $\operatorname{Tr}$.(BA) is maximum then the value of det. (BA) is equal to

Matrices

Solution:

Correct answer is (b) 714