Matrices and Determinants
JUPEB Mathematics

Given the matrices $A = \begin{pmatrix} 2 & 1 \\ 3 & 4 \end{pmatrix}$ and $B = \begin{pmatrix} 1 & 0 \\ 2 & -1 \end{pmatrix}$: (a) Find the matrix product $AB$. (4 marks) (b) Find the determinant of $…

(a) Find the value of $k$ for which the matrix $\begin{pmatrix} 1 & 2 \\ 3 & k \end{pmatrix}$ is singular. (3 marks) (b) Given that $k = 4$, find the inverse of the matrix in (a). (5 marks) (c) Evalua…