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About Krishna's TB Matrices
<span>SYLLABUS- MATRICES, Section-A: Linear Algebra</span><br><span>Unit-1: Vector spaces and their elementary properties, Subspaces, Linear dependence</span><br><span>and independence, Basis and dimension, Direct sum, Quotient space.</span><br><span>Unit-2: Linear transformations and their algebra, Range and null space, Rank and</span><br><span>nullity, Matrix representation of linear transformations, Change of basis.</span><br><span>Unit-3: Linear functionals, Dual space, Bi-dual space, Natural isomorphism, Annihil-</span><br><span>ators, Bilinear and quadratic forms, Inner product spaces, Cauchy-Schwarz's inequality,</span><br><span>Bessel's inequality and orthogonality.</span><br><span>Section-B: Matrices</span><br><span>Unit-4: Symmetric and skew-symmetric matrices, Hermitian and skew-Hermitian</span><br><span>matrices, Orthogonal and unitary matrices, Triangular and diagonal matrices, Rank of a</span><br><span>matrix, Elementary transformations, Echelon and normal forms, Inverse of a matrix by</span><br><span>elementary transformations.</span><br><span>Unit-5: Characteristic equation, Eigen values and eigen vectors of a matrix, Cayley-</span><br><span>Hamilton's theorem and its use in finding inverse of a matrix, Application of matrices to</span><br><span>solve a system of linear (both homogeneous and non-homogeneous) equations,</span><br><span>Consistency and general solution, Diagonalization of square matrices with distinct eigen</span><br><span>values, Quadratic forms.</span></br></br></br></br></br></br></br></br></br></br></br></br></br></br></br></br></br>
Detailed Information
| Author: | ,,, |
|---|---|
| Publication Year: | 2021 |
| Pages: | 182 |
| Language: | other |
| File Size: | 4.2785 |
| Format: | |
| Price: | FREE |
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