Linear Algebra Definitions

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Author:
DrGirlfriend
ID:
196996
Filename:
Linear Algebra Definitions
Updated:
2013-01-31 21:08:38
Tags:
Linear Algebra
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Description:
Section 2.2 The Inverse of a Matrix
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  1. Formula for the Inverse of a 2 x 2 matrix
  2. Determinant of a Matrix
    DetA = ad - bc
  3. Invertible Matrix
    IFF:

    A is an n x n matrix (square)

    CA = I and AC = I

    and

    Also called a Singular Matrix

    • For each b in the equation Ax = b has the unique solution xb.
  4. Elementary Matrix
    The matrix obtained by performing a single elementary row operation on an Identity matrix.
  5. Homogeneous
    Can be written in the form Ax =0

    Trivial Solution: x =
    0

    Nontrivial Solution: IFF there is at least one free variable.

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