If the matrix A = \( \begin{pmatrix} 3-2x & x+1 \\ 2 & 4

1.	If the matrix A = \( \begin{pmatrix} 3-2x & x+1 \\ 2 & 4 \\ \end{pmatrix} \) is singular then x = ?A. 0 B. 1 C. -1 D. -2
Answer» When a given matrix is singular then the given matrix determinant is 0. \|A\| = 0 Given, A = \(\begin{pmatrix}3-2x & x+1 \\2 & 4 \\\end{pmatrix}\) \|A\| 4(3 - 2x) – 2(x+1) = 0 12 – 8x -2x -2 = 0 10 -10x = 0 10x = 0 x = 1

If the matrix A = \( \begin{pmatrix} 3-2x & x+1 \\ 2 & 4 \\ \end{pmatrix} \) is singular then x = ?A. 0 B. 1 C. -1 D. -2

Answer»

When a given matrix is singular then the given matrix determinant is 0.

|A| = 0

Given, A = \(\begin{pmatrix}3-2x & x+1 \\2 & 4 \\\end{pmatrix}\)

|A|

4(3 - 2x) – 2(x+1) = 0

12 – 8x -2x -2 = 0

10 -10x = 0

10x = 0

x = 1