Question: (1 point) Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are 1 1 = 1, 12 = 4, and 13 = 2.

(1 point) Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are 1 1 = 1, 12 = 4, and 13 = 2. If V1 = [1 0 0], V2 = [1 1 0], v3 = [0 1 1] are eigenvectors of A corresponding to 1 1 , 12, and 13, respectively, then factor A into a product XDX- with D diagonal, and use this factorization to find AS . A =

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

I am not sure how to find A^5, can you explain the steps ? (1 point) Let A be a 3 X 3 diagonalizable matrix whose eigenvalues are 11 = 1, A; = 2, and '13 = 2. If 1 1 0 V1: 0, V2=1, V3=1 0 0 1 are...

Problem 13. (1 point) Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are 1 = 2, 12 = -3, and 13 = 4. If v1 = [1 0 0], v2 = [1 1 0], v3 = [0 1 1] are eigenvectors of A corresponding to /1,...

Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are A = 4, 2 = -1, and X3 = 1. If V = [100], V = [1_1_0], 3 = [0_1_1] are eigenvectors of A corresponding to A1, A2, and A3, respectively,...

Exercises 1 and 2 apply to a 3 x 3 matrix A whose eigenvalues are estimated to be 4, -4, and 3. 1. If the eigenvalues close to 4 and -4 are known to have different absolute values, will the power...

L BIOL 103: Principl Lu Lab Activity: Two LU BIOL 101: Princip! Biomolecules of Cell Cengage Digital ( MLA Citation Ger 8X Grades for Maker Biological Macromal S Stu KS - Maker X...

(a) Suppose that A is a 3 x 3 diagonalizable matrix and that { v1, v2, v3} is a basis of R' consisting of eigenvectors of A with corresponding eigenvalues 1, 12, 13. Suppose that the matrix B is also...

webwork / math252aculibrk / hw10 / 17 HW10: Problem 17 Previous Problem Problem List Next Problem 28 -15 -35 (1 point) Let A = 50 -27 -70 . Find an invertible matrix P and a diagonal matrix D such...

(a) Suppose that A is a 3 x 3 diagonalizable matrix with a basis of eigenvectors of R given by {u?, U?, U3} with corresponding eigenvalues A1, A2, A3. Suppose that the matrix B is also a 3 x 3...

(b) Let M be a 4 x 4 symmetric matrix whose row space, RS(M), is the subspace of R* given by RS(M) = E R+ $1 - 12 = 0, 12 - 13 =0 and x3 - 14 = 0 (i) Express /(M), the null space of M, as the linear...

I need help please! I hope the image is clearer now! Exercise 2(a) Let S be the set of points {(1, 1), (4, -3), (7,9)}. Let T be the set of points {(-9, 10),(-4,2),(-2,2), (0, 2), (1, -3), (3,6), (8,...

Optimism, Inc. anticipates the need for factory expansion four years from today. The firm has determined that it will have the necessary funds for expansion if it puts $400,000 per year into a stock...

Calculate tHo and tUo at 298 K and Ho at 348 K for the hydrogenation of ethyne (acetylene) to ethene (ethylene) from the enthalpyof combustion and heat capacity data in Tables 2.5 and 2.7. Assume the...

17. LO.5 Sunset, Inc., a 501(c)(3) exempt organization that is classified as a private foundation, generates investment income of $600,000 for the current tax year. This amount represents 20% of...

>>please follow the word limit and appropriate answer requested Select 1 sneaker brand form below and describe the history of the environmentally and sustainable sneaker brand. Nike, Adidas, Puma...

15. Now rank from 1 to 5 the areas that you think are most important to emphasize when communicating with others (1 is least important and 5 is most important to you). If you think it all depends on...

12. The form of creative action strategy, where would you say you have a strength, as a dreamer, as a realist or as a critic?

16. Now put the areas you have ranked in order of priority and reflect on which values they correspond to in your value hierarchy.