(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) Evaluate the determinant $\begin{vmatrix} 1 & 2 & 0 \ 0 & 1 & 3 \ 2 & 0 & 1 \end{vmatrix}$. (7 marks)

Question

Accepted Answer

undefined. Explanation will be available shortly. Sign up to access full Worked answers.

Answer

A) null

Answer

B) null

Answer

C) null

Answer

D) null

(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) Evaluate the determinant $\begin{vmatrix} 1 & 2 & 0 \\ 0 & 1 & 3 \\ 2 & 0 & 1 \end{vmatrix}$. (7 marks)

Practice more Mathematics questions