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Linear algebra - Coggle Diagram
Linear algebra
Unit 3: Vector space
Subspace of a vectorspace
Expressing vector as linear combination of other 2 vectors
Linear independence and dependence
Whether forms a basis or not
Dimensions and vectors of basis
Inner product space and norm
Gram-schmidth's orthogonalization(orthogonal and orthonormal basis )
QR decomposition
vectorspace or not
orthogonal projections
Unit 4: eigen values and eigen vectors
Eigen values and eigen vectors
+ve Definiteness matrix or not
linear transformation
hermition matrix
unitary matrix
Unit 2 - application of matrices
Linear dependence and independence
Solutions : consistent and inconsistent
Gauss elimination
LU decomposition
Unit 1
Bunch of matrix operations
Determinants
System of linear equations
Matrix inverse
Cramer's rule
Unit 5: Principle Component Analysis
Single Value Decomposition
principal component analysis
image processing and machine learning