Students can solve problems pertaining to the definitions of vector space, subspace,
span, linear independence and dependence.

Students can solve problems pertaining to the definitions of linear transformation,
kernel, and range.

Students can solve problems pertaining to eigenvalues and eigenvectors.

MATH 260 CMO

Compute matrix algebra operations, row operations for linear systems, and the methods
of Gaussian elimination and matrix inversion for solving linear systems.

Evaluate determinants using cofactors and row operations.

Demonstrate properties of determinants and matrix inversion using cofactors.

Solve problems pertaining to the definitions of vector space, subspace, span, linear
independence and dependence, basis and dimension, row and column space, and inner
product space.

Demonstrate use of Gram-Schmidt process for orthogonalization.

Solve problems pertaining to the definitions of linear transformation, inverse transformation,
kernel and range, and matrices of general linear transformations.

Compute matrix representations of linear transformations.

Solve problems pertaining to eigenvalues and eigenvectors.

Demonstrate diagonalization of square matrices with the special case of orthogonal
diagonalization of symmetric matrices.