Question
Asked Nov 4, 2019
fullscreen
check_circleExpert Solution
Step 1

Consider the given question,

Let 2x2 matrix A is,

2 0
A =
13
Av, v, and Av, = 1v
where, , and are eigen values of A
and, v and v, eigen vectors of A
help_outline

Image Transcriptionclose

2 0 A = 13 Av, v, and Av, = 1v where, , and are eigen values of A and, v and v, eigen vectors of A

fullscreen
Step 2

Now, find the Eigen values of A,

|A-AIO
2-2
0
=0
3-2
1
(2-2)(3-)-0 0
(2-2)(3-A)0
2 = 2,3
4, 2,3
help_outline

Image Transcriptionclose

|A-AIO 2-2 0 =0 3-2 1 (2-2)(3-)-0 0 (2-2)(3-A)0 2 = 2,3 4, 2,3

fullscreen
Step 3

So, the Eigen values of A are 2 and 3.

Now, find t...

2 0
A =
1
3
4 2(3)-1(0)
A= 6
2 0
0
D =
03
0
D ()()-023)
|D ==6
help_outline

Image Transcriptionclose

2 0 A = 1 3 4 2(3)-1(0) A= 6 2 0 0 D = 03 0 D ()()-023) |D ==6

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

Math

Advanced Math

Related Advanced Math Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: [Lin WS - Question 10] Hi, Question is Attached

A: The problem concerns the algebraic operations in Complex numbers

question_answer

Q: X Document1 - Word AutoSave evie tucker Off ET Design References Mailings Review View Help Search Sh...

A: To determine the area of the triangle obtained by applying T on the triangle PQR

question_answer

Q: Advanced Math Question

A: Let E is the region between z = (x2+y2-a2)1/2 and z = (x2+y2-a2)1/2 over the domain D on the xy plan...

question_answer

Q: Find the effective rate corresponding to the given nominal rate. Round to the nearest hundredth 7) 6...

A: To calculate the effective rate  given the nominal rate.

question_answer

Q: 1 1+z4 sin(z2) 1-cos(z) z3 Compute zeros, poles, order and residue at poles

A: Zeros: A point z0 is called a zero of order n for the function f (z) if  f is analytic at z0 and at ...

question_answer

Q: Suppose that H is a subgroup of G and let G act by conjugation on the set X = {gHg-1 : g ∈ G}. Descr...

A: Given that,H is a subgroup of G and G act by conjunction on the set

question_answer

Q: Real Analysis I am proving that the telescopic series (a1-a2)+(a2-a3)+. . . converges IFF the sequen...

A: To discuss rigorously the convergence and divergence of a telescopic series

question_answer

Q: The quality-control department of Starr Communications, the manufacturer of video-game cartridges, h...

A: Let,A be the cartridges sold have video defectsB be the cartridges sold have audio defectsFrom the g...

question_answer

Q: Evaluate the following contour integrals 2+1 dz where T is a positively-oriented circle of radius 1 ...

A: Given: