Course Outcome

• (Remembering) Describe the concept of the algebra of matrices and elementary row operations, calculate the rank of the matrix, and analyze the consistency of a linear system. 
• (Understanding) Explain the concept of Eigenvalues and Eigenvectors; evaluate the diagonalization of matrices and quadratic & bilinear forms. 
• (Applying) Discuss the basics of Vector spaces. 
• (Analyzing) Describe and use the linear transformation and evaluate nullity and kernel. 
• (Evaluating) Explain the range and kernel and the basic introduction of Inner product spaces and orthogonal and orthonormal vectors. 
• (Creating) Describe the application of rank, Eigenvalues, Eigenvectors, and Gram-Schmidt orthogonalization.