Question

If A is a 2x2 order matrix with 1st row [X-8 ] and 2nd row [28] is a singular matrix then the value
of x is
|​

Answer 1

Answer:

8x+16=0

8x=-16

X=-2 so the value of x is - 2

Answer 2

Answer:

The value of $X=-2$.

Step-by-step explanation:

Given matrix is

$A=\left[\begin{array}{ccc}X&-8\\2&8\end{array}\right]$

Singular Matrix: A matrix is said to be singular if the determinant of that matrix is zero.

The determinant of the matrix A is:

$|A|=8X-(-8)(2)$

Equate it to zero, since it is a singular matrix.

Perform multiplication for the second term.

$8X+16=0$

Take 16 to Right Hand side.

$8X=-16$

Take 8 to Right Hand Side

$X=\frac{-16}{8}$

Perform division. We get,

$X=-2$.

Therefore, the value of $X$ is $-2$.