Problem 1

Determine all minors and cofactors of

Problem 2

Find the determinant of the matrix

Problem 3

Find the determinant of the matrix

Problem 4

Given

Find all values of where .

Problem 5

If and are matrices, , and , determine the following

(a).

(b).

(c).

(d).

(e).

Problem 6

Find the volume of the region defined by the vectors

Problem 7

Find the area of the parallelogram with vertices at , , , and .

Problem 8

Find the area of the triangle with vertices , , and .

Problem 9

Find the eigenvalues of , given that and its eigenvectors are , and