Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Exercises $9-14$ require techniques from Section $3.1 .$ Find the characteristic polynomial of each matrix, using either a cofactor expansion or the special formula for $3 \times 3$ determinants described prior to Exercises $15-18$ in Section $3.1 .$ INote: Finding the characteristic polynomial of a $3 \times 3$ matrix is not easy to do with just row operations, because the variable $\lambda$ is involved.$$\left[\begin{array}{lll}{0} & {3} & {1} \\ {3} & {0} & {2} \\ {1} & {2} & {0}\end{array}\right]$$

$-\lambda^{3}+6+6+\lambda+4 \lambda+9 \lambda=-\lambda^{3}+14 \lambda+12$

Calculus 3

Chapter 5

Eigenvalues and Eigenvectors

Section 2

The Characteristic Equation

Vectors

Johns Hopkins University

Missouri State University

Oregon State University

Idaho State University

Lectures

02:56

In mathematics, a vector (…

06:36

05:22

Exercises $9-14$ require t…

00:37

03:14

04:34

00:45

00:35

In Exercises 39-54, find t…

02:33

Compute the determinants i…

00:53

01:09

00:49

so, uh Okay, So we have a man is lambda. That's zero minus lambda 31 30 minus Lambda 212 And Dolan is Lambda. I think it's coming out of that. This gives me, uh, negative. Lambda Lambda, Lambda US Three times to one close one times. Three times two My swollen times. Negative lime. The times one minus two times two. I was thinking of London. Plus the three times three. Okay, simplifying that we get just negative land. The Cube plus 14. Lamba. What? Paul? Okay, so this is our care characteristic polynomial.

View More Answers From This Book

Find Another Textbook

In mathematics, a vector (from the Latin word "vehere" meaning &qu…

In mathematics, a vector (from the Latin "mover") is a geometric o…

Exercises $9-14$ require techniques from Section $3.1 .$ Find the characteri…

In Exercises 39-54, find the determinant of the matrix.Expand by cofactors o…

Compute the determinants in Exercises $9-14$ by cofactor expansions. At each…

Compute the determinants in Exercises $1-8$ using a cofactor expansion acros…

02:05

Write the difference equations in Exercises 29 and 30 as first-order systems…

04:00

Let $f, g,$ and $h$ be linearly independent functions defined for all real n…

03:58

Find the equation $y=\beta_{0}+\beta_{1} x$ of the least-squares line that b…

02:34

In statistical theory, a common requirement is that a matrix be of full rank…

13:53

[M] Use the Gram-Schmidt process as in Example 2 to produce an orthogonal ba…

02:00

In Exercises $7-12$ , use Example 6 to list the eigenvalues of $A$ . In each…

04:59

Let each matrix in Exercises $1-6$ act on $\mathbb{C}^{2} .$ Find the eigenv…

06:46

In Exercises 7 and $8,$ make a change of variable that decouples the equatio…

04:18

01:31

In Exercises $9-18$ , construct the general solution of $\mathbf{x}^{\prime}…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.