Find the determinant for the matrix:

Question

Find the determinant for the matrix:

 

Answer 1

3 -4 2

0 -1 2

-2 1 2

expands off first column:

(-1)^(1+1) * 3 * (-1*2 - 1*2) +

(-1)^(2+1) * 0 * (-4*2 - 1 * 2) +

(-1)^(3+1) * -2 * (-4*2 - -1*2)

3*(-2-3) + (-2)*(-8- -2) =

3(-5) + (-2)*-6 =

-15 + 12 =

-3