The span of vectors are all vectors that can be written as linear combinations of
other vectors. The span of the set of vectors, is the collinear line of the vectors
involved. If the vectors are collinear, then the span reduces to the collinear line
which is the result of the linear combination of the two vectors before. A vector is
linearly dependent if you can write a linear combination of that vector (It depends
an independent vector that cannot be written as a linear combination of the other
vector). The span of (v1, v2) = R^2 (in R2 dimensional real number space).
The inverse of matrix A multiplied by the matrix A, will give you the identity
matrix. The identity matrix multiplied/divided by any other matrix, will be the
same matrix itself. Order matters when you are taking the inverse of one of the
matrices present in an equation.
If A = [3 , 2/6 ,
6], How to take the inverse of a matrix A: A^1 = (1 / detA)(6 , 2/ 6 ,
3]
Det A = (3)(6) – (2)(6) = 18 + 12 = 30. A ^1 = (1/30) [6 , 2/6 , 3]
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 Fall '07
 DUNBAR
 Linear Algebra, Algebra, Vectors, Vector Space, Invertible matrix, rixvector mult

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