MA25C02 Linear Algebra
Anna University Syllabus, Notes, Important Questions, Question Bank, Question Paper are available in Padeepz App
Vector Spaces Introduction to Vector Spaces, Examples, Subspaces, Linear
Combinations, Span, Generating Sets, Linear Dependence and Independence, Basis
and Dimension, Dimension of Subspaces.
Activities: Open-Source software, exercises to test linear dependence and
independence using rank, compute span and basis of a set of vectors, determine the
dimension of subspaces, and illustrate the concept of subspace and basis in πΉπ/πΉπ with
visualization. MA25C02 Linear Algebra Notes
Linear Transformations and Diagonalization: Null space, Range, Dimension
Theorem (statement only), Matrix representation of a linear transformation, Eigenvalues
& Eigenvectors, Diagonalizability.
Activities: Open-Source software, exercises to compute the matrix representation of a
linear transformation, find the null space and range of a matrix, and compute eigenvalues
and eigenvectors of a matrix. MA25C02 Linear Algebra Important Questions
Inner Product Spaces: Inner product, Norms, Cauchy, Schwarz inequality, Gram,
Schmidt orthogonalization, Simple problems (up to πΉπ).
Activities: Open-Source software, exercises to compute inner products and vector
norms. MA25C02 Linear Algebra Question Paper
Matrix Decomposition: Orthogonal transformation of a symmetric matrix to diagonal
form – Positive definite matrices, QR decomposition, Singular Value Decomposition
(SVD), Least squares solutions- simple problems (up to 3 Γ 3 πππ‘πππππ ).
Activities: Open-Source software, exercises to check if a matrix is positive definite,
perform QR decomposition and SVD using built-in functions.
References:
1. Friedberg, S. H., Insel, A. J., & Spence, L. E. (2022). Linear algebra. Pearson.
2. Lay, D. C., Lay, S. R., & McDonald, J. J. (2020). Linear algebra and its applications
with MATLAB. Pearson.
3. Bronson, R. (2011). Schaumβs outline of matrix operations. McGraw-Hill Education.
4. Strang, G., & Thomson, R. (2005). Linear algebra and its applications.
Brooks/Cole.
5. Lipschutz, S., & Lipson, M. (2009). Schaum’s outline of linear algebra. McGrawHill.
6. Kreyszig, E. (2018). Advanced engineering mathematics. Wiley India.
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| Notes | Click Here |
| Important Questions | Click Here |
| Previous Year Question Paper | Click Here |
| Question Bank | Click Here |
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