Register to reply

Finding the Determinant

by deana
Tags: determinant
Share this thread:
deana
#1
Apr3-12, 06:36 PM
P: 3
1. The problem statement, all variables and given/known data


Let A be the matrix with eigenvalues x1 = 2, x2 = 1, x3 = 1/2 , x4 = 10

and corresponding eigenvectors v1: <1,-1,1,0>, v2: <1,-1,0,0>, v3: <1,0,0,1>, v4: <0,0,1,1>

Calculate |A|


2. Relevant equations

See above


3. The attempt at a solution

I'm not really sure how to start this problem but i know that:
For nxn matrices X, Y , Z
|XYZ| = |X| |Y| |Z| and |X^ (-1)|= 1 / |X|
Maybe I could use this to solve the problem?

Any input or suggestions about how to start this problem would be helpful!
Thanks!:)
Phys.Org News Partner Science news on Phys.org
Bees able to spot which flowers offer best rewards before landing
Classic Lewis Carroll character inspires new ecological model
When cooperation counts: Researchers find sperm benefit from grouping together in mice
Dick
#2
Apr3-12, 06:40 PM
Sci Advisor
HW Helper
Thanks
P: 25,243
What does the matrix of your linear transformation look like if you express it in the basis {v1,v2,v3,v4}?
Ray Vickson
#3
Apr3-12, 07:58 PM
Sci Advisor
HW Helper
Thanks
P: 4,959
Do you know the relationship between the eigenvalues of a matrix and the determinant of that matrix? It is a standard result. If it is not in your textbook or course notes, it can certainly be found through Google.

RGV


Register to reply

Related Discussions
Finding Max Determinant of 6x6 matrix Introductory Physics Homework 2
Finding area of a region with determinant Calculus & Beyond Homework 6
Finding determinant given determinant of another matrix Calculus & Beyond Homework 3
Finding a determinant Precalculus Mathematics Homework 6
Finding the determinant of a 3x3 matrix. Precalculus Mathematics Homework 9