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LU Gaussian
Upper Echelon
Pivot
Rank
Augmented Matrix
Matrix vector equation
Back Substitution
Vector Addition
Scalar Multiplication
Linear Combination
Column Picture
Row Picture
Span
Subspace
Linear Independence
Trivial Solution
Basis
Dimensiobn
Homogenous System
Nullspace
Column Space
Transpose
Row Space
Left Nullspace
Complete Solution
Identity Matrix
Linear Transformation
Kernal
Range
Injective
Surjective
Bijective
Dor (or inner) product
Norm
Orthogonal Projection
Projection
Inverse of a linear transformation
Inverse Matrix
Gauss-Jordan method to compute in inverse matrices
Determinant (computational)
Determinant (volume)
Determinant (linear transformation)
Orthogonal subspaces
Orthogonal complement
Schwarz Inequality
Triangle inequality
Projection matrix
Orthonormal
Orthogonal matrix
Gram-Schmidt
Eigenvalue / Eigenvector
Eigenspace
Algebraic Multiplicity
Geometric Multiplicity
Similar Matrices
Diagonalization
Change of basis matrix
Nullspace
Left Nullspace
Fundemental Theorem of Linear Algebra (part 2)
1) The ____ is the orthogonal compliment to the rowspace in Rn
2) The ____ is the orthogonal compliment to the column space in Rn.
Positive (semi) definite matrix
Symmetric Matrix
Singular Value Decomposition