# MAT 114 Lecture Notes - Lecture 6: Invertible Matrix, Immunoglobulin G, Gaussian Elimination

by OC2621139

Department

MathematicsCourse Code

MAT 114Professor

Lisa Holden Lecture

6This

**preview**shows pages 1-3. to view the full**32 pages of the document.** SECTION 4.3 Matrix inversion

The inversion of an Nx 72 matrix

Ais that 22 72 matrix Ai

which when multiplied by Aon

either side yields the 72 72

idenity matrix I

AAAt AI

lRAwas an inverse it is said

to be invertible Otherwise it

is said to be singular

NOTE If we discovered that NB L

then we know that Ais the inverse

of Band Bis the inverse of A

We then call Aand Ban

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INVERSE PAIR OF MATRICES

1

EXCERISE 4

Determine whether or not the

given pairs of matrices are

inverse pairs

atoo if

Ii

as II

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IOO

Igg gI

SO AtBform on inverse

matrices You could say that

faith nor

entry

Yeaim

example

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