Unit 1
Vector Spaces: Vector spaces – Sub spaces – Linear independence – Basis – Dimension – Inner products – Orthogonality – Orthogonal basis – Gram Schmidt Process.
| Course Name | Linear Algebra |
| Course Code | 15MAT202 |
| Program | B. Tech. in Aerospace Engineering |
| Semester | Three & Five |
| Year Taught | 2019 |
Vector Spaces: Vector spaces – Sub spaces – Linear independence – Basis – Dimension – Inner products – Orthogonality – Orthogonal basis – Gram Schmidt Process.
Change of basis – Orthogonal complements – Projection on subspace – Least Square Principle. Linear Transformations: Positive definite matrices – Matrix norm and condition number – QR – Decomposition
Linear transformation – Relation between matrices and linear transformations – Kernel and range of a linear transformation – Change of basis – Nilpotent transformations – Similarity of linear transformations – Diagonalisation and its applications – Jordan form and rational canonical form.
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