MATH
C3092310

# C3092310 - 10(Statement of the problem Proof By the formula...

• Notes
• 1

This preview shows page 1. Sign up to view the full content.

10. (Statement of the problem.) Proof. By the formula A (adj A ) = (det A ) I , we have (det A ) - 1 A (adj A ) = I. By Problem 15 in Section 2.2, adj A is nonsigular and (adj A ) - 1 = (det A ) - 1 A. Since det( A - 1 ) = (det A ) - 1 ( why? ), we get (adj A ) - 1 = (det A - 1 ) A. This is the first equality. We replace A by A -
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: A (adj A ) = (det A ) I to get A-1 (adj A-1 ) = (det A-1 ) I. Multiplying by A from the left, we get AA-1 (adj A-1 ) = (det A-1 ) AI. That is, (adj A-1 ) = (det A-1 ) A. This is the second equality. / 1...
View Full Document

• Spring '08
• samiabdul

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern