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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Linear Algebra for Beginners

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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Linear Equations

A system of linear equations A*x = b is homogeneous if b = 0 . inconsistent linear system: A system of linear equations is inconsistent if it has no solutions. See also: consistent . inverse

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“Algebra” means, roughly, “relationships”. Grade-school algebra explores the relationship between unknown numbers. Without knowing x and y, we can still work out that ( x + y) 2 = x 2 + 2 x y + y 2. “Linear Algebra” means, roughly, “line

Linear Equations

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

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