It is given that $\mathbf{M} = \begin{pmatrix} 2p & q \ 0 & \frac{1}{3}r \end{pmatrix}$ and

Question

It is given that $\mathbf{M} = \begin{pmatrix} 2p & q \ 0 & \frac{1}{3}r \end{pmatrix}$ and $\mathbf{N} = \begin{pmatrix} 4 & -2 \ 0 & 6 \end{pmatrix}$. Find $\mathbf{N}^2$. Given that $4\mathbf{M} = \mathbf{N}^2$, find the values of $p$, $q$ and $r$.

Accepted Answer

(a) $N^2=\begin{pmatrix}16&-20\0&36\end{pmatrix}$; (b) $p=2,q=-5,r=27$.

Matrices - Multiplication of a Matrix by a Scalar

Matrices - Multiplication of a Matrix by a Scalar

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