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Subject Syllabus

CB-201 - Linear Algebra

CSBS · Semester 2

Course Modules

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Introduction to Matrices and Determinants Solution of Linear Equations Cramer's rule Inverse of a Matrix

Rank of a matrix Gaussian elimination LU Decomposition Solving Systems of Linear Equations using the tools of Matrices

Vector space Dimension Basis Orthogonality Projections Gram-Schmidt orthogonalization and QR decomposition

Eigenvalues and Eigenvectors Positive definite matrices Linear transformations Hermitian and unitary matrices

Introduction to their applications in Image Processing and Machine Learning