Let A and B be 3×3 square matrices such that AB=9I where A=⎡⎢⎣0 – InterviewSolution

1.	Let A and B be 3×3 square matrices such that AB=9I where A=⎡⎢⎣01−14−343−3λ⎤⎥⎦ If b33=9.a23, then value of tr(A2+B2) is (tr denotes trace of the matrix)
Answer» Let $A$ and $B$ be $3 \times 3$ square matrices such that $A B = 9 I$ where $A = ⎡ ⎢ ⎣ \begin{matrix} 0 & 1 & - 1 4 & - 3 & 4 3 & - 3 & λ \end{matrix} ⎤ ⎥ ⎦$ If $b_{33} = 9. a_{23}$ , then value of $tr (A^{2} + B^{2})$ is ( $tr$ denotes trace of the matrix)

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