Measurable Student Learning Outcomes
1. (Application Level) Solve systems of linear equations using multiple methods, including Gaussian elimination, Cramer's Rule, and matrix inversion. (CSLO 4) 2. (Application Level) Compute the transpose, determinant, and inverse of matrices for a given matrix. (CSLO 4) 3. (Knowledge Level) Define a homogeneous linear system of m equations with n unknowns and identify a sufficient condition for its nontrivial solution. (CSLO 2) 4. (Application Level) Calculate eigenvalues, eigenvectors and eigenspaces for matrices and linear transformations. (CSLO 4) 5. (Knowledge Level) Define the basic terminology of linear algebra in Euclidean spaces, including linear independence, spanning, basis, rank, nullity, subspace, and linear transformation. (CSLO 2) 6. (Knowledge Level) Find the kernel, rank, range and nullity of a linear transformation. (CSLO 4) 7. (Application Level) Solve application problems using the properties of linear mappings: image and kernel. (CSLO 4) 8. (Application Level) Use the Gram-Schmidt process to construct orthogonal and orthonormal bases. (CSLO 4) 9. (Application Level) Define subspaces in R-2 and R-3 and inner products; determine the dimension of a subspace and analyze the function that maps two vectors from a vector space to a scalar. (CSLO's 2,4) 10. (Synthesis Level) Construct the orthogonal diagonalization of a symmetric matrix. (CSLO 4)