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Let A and B be square matrices of the...

Let `A` and `B` be square matrices of the order `3xx3` . Is `(A B)^2=A^2B^2` ? Give reasons.

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To determine whether \((AB)^2 = A^2B^2\) for square matrices \(A\) and \(B\) of order \(3 \times 3\), we can start by expanding both sides of the equation. ### Step 1: Expand \((AB)^2\) \[ (AB)^2 = AB \cdot AB \] Using the associative property of matrix multiplication, we can rearrange this as: \[ ...
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NCERT EXEMPLAR ENGLISH-MATRICES-Solved example
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