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in Linear Equations by (55.0k points)
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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

1 Answer

+1 vote
by (49.9k points)
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Best 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

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