We know that expansion of determinant with respect to first row is a11A11+a12A12+a13A13.0(3 × 6-5 × 4)-2(2 × 6-4 × 4)+0(2 × 5-4 × 3)= 8.

Q18 of 110 Page 258

Evaluate

We know that expansion of determinant with respect to first row is a₁₁A₁₁+a₁₂A₁₂+a₁₃A₁₃.

0(3 × 6-5 × 4)-2(2 × 6-4 × 4)+0(2 × 5-4 × 3)

= 8.

Evaluate

Without expanding the determinant, prove that

SINGULAR MATRIX A square matrix A is said to be singular if |A| = 0.

Also, A is called non singular if |A| ≠ 0.

For what value of x, the given matrix is a singular matrix?