Question

If A=[1 -1 x
1 x 1
x -1 1] is a singular matrix then x=​

Answer 1

Answer:

» A = [ 1 -1 x ]

| 1 x 1 |

[ x -1 1 ]

Is the singular matrix

» (x + 1) + (1 - x) + x (-1 - x²) = 0

» 2 + -x - x³ = 0

» x³ + x - 2 = 0

Here, (x - 1) is the factor.

» 1 | 1 0 1 -2

| 1 1 2

________

x² + x + 2= 0

» x = ( -1 ± √-7)/2 or x = 1

Are the required values of x.