Problem 3

Solve for .

Problem 4

A square matrix is called a permutation matrix if it contains the entry exactly once in each row and in each column, with all other entries being . All permutation matrices are invertible. Find the inverse of the permutation matrix

Find

Problem 5

If , then find .

Problem 6

Find the determinant of .

Problem 7

Find the determinant of .

Problem 8

A square matrix is called a permutation matrix if each row and each column contains exactly one entry 1, with all other entries being 0. An example is . Find .

Problem 9

Given the matrix

(a). Find Its Determinant

(b). Does it Have an Inverse

Yes it does as it's determinant is non-zero

Problem 10

Given the matrix

(a). Find Its Determinant

(b). Does it Have an Inverse

Yes it does as it's determinant is non-zero

Problem 11

Given .

(a). Find

(b).

(c).

Problem 12

If , and , then

(a). Find

(b). Find

Problem 13

If the determine .