1.

Analyze the existence and character of the solution(s) of a system of
linear equations using a rowechelon form of the augmented matrix
determinant. (I, II)

2.

Display knowledge of matrix and determinant operations and properties.
(I, II)

3.

Use the Euclidean inner product and other inner products to define
length and distance for vector spaces. (III)

4.

Determine whether a set of vectors is a vector space and whether a
subser of vectors is a subspace. (III)

5.

Determine a basis for a vector space. (III)

6.

Use the GramSchmidt process to obtain an orthonormal basis for an
inner product space. (III)

7.

Determine bases for the row space, column space, null space and
possible eigenspaces of a matrix A. (III, IV)

8.

Determine whether a transformation T is linear and find bases for the
kernel and range of T. (V)

9.

Use current technology to solve problems in the context of the course.
(I, II, III, IV, V)

