Answer to Question #200603 in Linear Algebra for Mpopo

Question

(3.1)Without calculating the determinant, inspect the following:

1 0 0 0

0 1 0 0

0 0 1 0

0 0 0 -2

(3.2)Without calculating the determinant, inspect the following:

1 0 0 0

0 1 0 0

0 0 0 1

0 0 1/4 0

Answer 1

3.1

There are no linearly dependent rows in the matrix, so the determinant is not zero.

3.2

There are no linearly dependent rows in the matrix, so the determinant is not zero.