M1review 415 - Block multiplication Inverses Section 2.6 LU...

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Math 415. Topics covered by MIDTERM 1 Section 1.1, 1.2. Vectors and linear combination Dot product Section 1.3 Matrices, matrix of coefficients Inverse matrix Section 2.1 Vector and matrix versions of systems of linear equations Section 2.2, 2.3 Elimination and elimination matrices Section 2.4, 2.5 Matrix operations
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Unformatted text preview: Block multiplication Inverses Section 2.6 LU factorization Section 2.7 Transposes and permutation Section 3.1 Vector spaces and subspaces Col(A) Section 3.2 Null space Theorem: if n>m then there must be free variables Section 3.3 Rank and dimension of Col(A), N(A)...
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