Linear Algebra Definitions
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Formula for the
Inverse
of a 2 x 2 matrix
Determinant of a Matrix
DetA = ad - bc
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 A
x
=
b
has the unique solution
x
=
b
.
Elementary Matrix
The matrix obtained by performing a single elementary row operation on an Identity matrix.
Homogeneous
Can be written in the form A
x =
0
Trivial Solution: x =
0
Nontrivial Solution:
IFF there is at least one free variable.
Card Set Information
Author:
DrGirlfriend
ID:
196996
Filename:
Linear Algebra Definitions
Updated:
2013-02-01 02:08:38
Tags:
Linear Algebra
Folders:
Description:
Section 2.2 The Inverse of a Matrix
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