Solveeit Logo
Login

Question

Question: If the matrix \(\begin{bmatrix} 1 & 3 & \lambda + 2 \\ 2 & 4 & 8 \\ 3 & 5 & 10 \end{bmatrix}\)is sin...

If the matrix [13λ+22483510]\begin{bmatrix} 1 & 3 & \lambda + 2 \\ 2 & 4 & 8 \\ 3 & 5 & 10 \end{bmatrix}is singular, then the value of l is :

A

1

B

4

C

2

D

3

Answer

4

Explanation

Solution

Since A is a singular matrix

then ∣13λ+22483510∣\left| \begin{matrix} 1 & 3 & \lambda + 2 \\ 2 & 4 & 8 \\ 3 & 5 & 10 \end{matrix} \right|= 0

l = 4