The matrices $\mathbf{A} = \begin{pmatrix} 2q^2 + 5q - 10 & -3 \ 6 & 3 \end{pmatrix}$ and \(\math

Question

The matrices $\mathbf{A} = \begin{pmatrix} 2q^2 + 5q - 10 & -3 \ 6 & 3 \end{pmatrix}$ and $\mathbf{B} = \begin{pmatrix} 2 & -3 \ 6 & 3p^2 - 4p - 8 \end{pmatrix}$ are equal. Find the possible values of $p$ and $q$. If the answer is not exact, correct the answer to $3$ significant figures.

Accepted Answer

$p=-1.36$ or $p=2.69$; $q=\frac{3}{2}$ or $q=-4$

Matrices - Application of Matrices

Matrices - Application of Matrices