Question

Compute the determinant of A, where A= a 4x4 matrix [1 -3 0 0; 2 1 0 0; 0 0 1 2; 0 0 2 1] a 4x4 matrix [2 5 4 2; 0 0 0 2; 0 -3 0 -4; 1 0 -1 1] and a 4x4 matrix [1 -3 0 0; 2 1 0 0; 0 0 1 2; 0 0 2 1]^-1.

a) det(A)= -36

b) det(A)= 5

c) det(A)= 0

d) det(A)= -13

e)det(A)= 36

Answer 1

We calculate the determinant of the given matrix using the Matlab command .

For the matrix , we get the following output.

Thus, when , the determinant of is

.

For the matrix , we get the following output.

Thus, when , the determinant of is .

For the matrix , we get the following output.

Thus, when , the determinant of is

.

Thus, from above we can conclude that for the matrix , option is correct.