33A_review_topics - MATH 33A Winter 2009 Review Topics 1 Gauss-Jordan elimination reduced row echelon form solving systems of linear equations 2

33A_review_topics - MATH 33A Winter 2009 Review Topics 1...

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MATH 33A Winter 2009 Review Topics 1. Gauss-Jordan elimination, reduced row echelon form, solving systems of linear equations 2. Definition of linear transformations, recognizing linear transformations, matrix of a linear transformation (a) scaling, projection, reflection, rotation 3. Vectors (a) length, dot product, cross product, angle between vectors 4. Matrices (a) matrix multiplication (not commutative), distributive property, inverses, transpose, inverse of product, transpose of product (b) Invertible matrices, invertible transformations, criteria for invert-

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