Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 3 - Determinants - 3.3 Cofactor Expansions - Problems - Page 232: 1

Answer

The minors are: $M_{11}=5$ $M_{12}=0$ $M_{21}=2$ $M_{22}=-9$ The cofactors of the matrix A are: $C_{11}=5$ $C_{12}=0$ $C_{21}=-2$ $C_{22}=-9$

Work Step by Step

$A=\begin{bmatrix} -9 & 2 \\ 0 & 5 \end{bmatrix}$ The minors are: $M_{11}=5$ $M_{12}=0$ $M_{21}=2$ $M_{22}=-9$ The cofactors of the matrix A are: $C_{11}=(-1)^{1+1}.5=5$ $C_{12}=(-1)^{1+2}.0=0$ $C_{21}=(-1)^{2+1}.2=-2$ $C_{22}=(-1)^{2+2}.(-9)=-9$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.