Consider the following system 3x1+2x2 +3 x12x2 + 3x3 2x1 + x2 - 3 - 9 2x3 = -3 Find the determinant of A-1 NOTE: Round the Answer to THREE decimal places.

What is the determinant of [1 -2 ? -4 3 |

Evaluate the following determinant by using row-operations. Carefully 0 -1 3 4 -2 -6 -10 -4 -4 A = -> -3 -2 -4 -8 2 1 196

6) Find the determinant: -2 3 5 3 4 4-2 6 -31

Find the value of x, from the following determinant: 1 -3 = 3x2 – 8x – 31 -2 1 -1

in a determinant the number of rows need not be same as the number of columns true or false?

Find the cofactor of -3 in the determinant 1 44 -3 5 9 2 12 (A) -3 B C) 4 D -4 -5

(6a2b-2)-2/(2a-1b)-2

(b) Find the value of determinant by using appropriate row and column operations x+ y 5x + 4y 4x 2x 10x + 8y 8x 3x

The determinant of a 2 × 2 matrix involves two products. The determinant of a 3 × 3 matrix involves six triple products. Show that the determinant of a 4 × 4 matrix involves 24 quadruple products.