Given the matrices

MATHEMATICS · Multi-part · CBSE · Mathematics · Matrices · Matrices

Problem

Given the matrices A=[1224],  B=[2−1−10.5]A = \begin{bmatrix} 1 & 2 \\ 2 & 4 \end{bmatrix},\; B = \begin{bmatrix} 2 & -1 \\ -1 & 0.5 \end{bmatrix}, perform the following calculations: (i) Compute the product ABAB. (ii) State whether AA and BB are zero matrices.

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