Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. (8) suppose t : r 4 ? r 4 with t(x) = ax is a...

(8) Suppose T : R 4 ? R 4 with T(x) = Ax is a...

50.1K

Verified Solution

Question

Advance Math

(8) Suppose T : R 4 ? R 4 with T(x) = Ax is a lineartransformation such that • (0, 0, 1, 0) and (0, 0, 0, 1) lie in thekernel of T, and • all vectors of the form (x1, x2, 0, 0) arereflected about the line 2x1 ? x2 = 0.

(a) Compute all the eigenvalues of A and a basis of eacheigenspace.

(b) Is A invertible? Explain.

(c) Is A diagonalizable? If yes, write down its diagonalization(you can leave it as a product of matrices). If no, why not?

Answer & Explanation Solved by verified expert
4.2 Ratings (587 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Basic Math
1.2K views

Read the following paragraph and answer question 14 and 15 below Gym class and scheduled...

Basic Math
1.2K views

A bottled water distributor wants to estimate the amount of water contained in 11?-gallon bottles purchased...

Biology
1.2K views

A B

Biology
1.2K views

The trouble with indicting President Trump is this If we start going after him next...

Geometry
1.2K views

6 Chose the correct net for the solid 3 D figure shown below a b...

Geometry
1.2K views

Lucy s employer pays 70 of the total cost of her family s health insurance...

Basic Math
1.2K views

Rewrite the following logarithms in expanded form by applying the properties of logarithm 2 0...

Algebra
1.2K views

Select ALL that apply.The figure shown is a quadrilateral.Determine which sequences of transformations performed on...

Accounting
1.2K views

The management of Zigby Manufacturing prepared the following estimated balance sheet for March, 2015: ...

Accounting
1.2K views

Ray Ray made the followng contributions in 2023 Determine the maximum amount of charitable deduction...

Accounting
1.2K views

Compute the interest earned on the following notes $200,000, 11%,7 Months

Accounting
1.2K views

2) (What is the breakeven in dollars? Good foods marketed a wide range of food...