d whose linear combinations give every v in V. A vector space has many bases! Big formula for n by n determinants. Det(A) is a sum of n! terms, one term for each permutation P of the

A term can be any of the following: a constant: e.g. 3, 10, π, the product of a number ( coefficient) and a variable : e.g. –3x, 11y, the product of two or more variables: e.g. x 2, xy, 2y 2, 7xy Like terms are terms that differ only in their

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Two Simple linear transformations 1. T (v)=0, for all V (zero transformation T:V to W) 2. T (v)=V, for all V (Identity transformation T= V to W) Linear Transformation Let V and W be vector

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