Properties of Matrix Multiplication: Commutativity

Properties of Matrix Multiplication: Commutativity

Secondary 4

Given that \(A = \begin{pmatrix} 2 & 0 \\ 3 & 4 \end{pmatrix}\) and \(B = \begin{pmatrix} x & 0 \\ 2 & 1 \end{pmatrix}\), find the value of \(x\) when \(AB = BA\).

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Answer:\(x=-\frac13\).

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