Question

Evaluate the determinant for the following matrix?

{3 3 1
-2 0 -2
-2 4 -3]

My choices for an anwser are
A. 12
B. -42
C. -36
D. 10

Answer 1

The given matrix is
[ 3 3 1
-2 0 -2
-2 4 -3]

The determina nt is
3[(0)(-3) - (-2)(4)] - 3[(-2)(-3) - (-2)(-2)] + [(-2)(4) - (0)(-2)]
= 3*8 - 3*2 - 8
= 10

Answer: 10

Answer 2

Det= (3*8) - (3*2) - 8 Answer:

Det= 48

Explanation:

The given matrix is one of the form:

{3 3 1

-2 0 -2

-2 4 -3]

The Sarrus's law says that we can solve the matrix as the image attached (please take a look).

Then, the determinant is :

Det= 3*(0)*(-3) +1*(-2)*(4) +(-2)*(-2)*(3) - 1*(0)*(-2) - 3*(-2)*(3) - 3*(-2)(4)

Det= 0 -8 +12 +0 +18 +24 = 48