It is given that $X = \begin{pmatrix} a & 9 \ 3b & 2 \end{pmatrix}$, \(Y = \begin{pmatrix} 4

Question

It is given that $X = \begin{pmatrix} a & 9 \ 3b & 2 \end{pmatrix}$, $Y = \begin{pmatrix} 4 & -1 \ -5 & -3 \end{pmatrix}$ and $Z = \begin{pmatrix} 9 & 2c \ 3 & d \end{pmatrix}$. Find $3Y$, the values of $a$, $b$, $c$ and $d$ if $X + 3Y = Z$.

Accepted Answer

(a) $\begin{pmatrix}12&-3\-15&-9\end{pmatrix}$; (b) $a=-3,b=6,c=3,d=-7$.

Isolating Variable Matrices within Scalar-Transformed Systems

Isolating Variable Matrices within Scalar-Transformed Systems

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