Question

Which of these matrixes has a determinant? Calculate its determinant values.

Answer 1

E, F and G have determinants.

Explanation:

Only square matrices have determinants so D which is not square does not have a determinant.

Determinant of F (2*3) - (1 * -1)

= 6 +1

= 7.

The determinant of G is obtained in the same way.,

THe determinant of E is worked out as follows

I 0 -1 1 | 0 * | -1 -3 | - ( -1) * | 3 -3| + 1 * | 3 -1|

I 3 -1 -3 | = | 0 5 ! |2 5| |2 0|

I 2 0 5 |

= 0 * -5 + 1 * 21 + 1 * 2

= 23.