Question: Let A be a 44 matrix with two eigenvalues. Each eigenspace is one-dimensional. Is A diagonalizable? Explain why yes or why not.

Let A be a 44 matrix with two eigenvalues. Each eigenspace is one-dimensional. Is A diagonalizable? Explain why yes or why not.

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!

Q:

A is a 3 x 3 matrix with two eigenvalues. Each eigenspace is one-dimensional. Is A diagonalizable? Why?

Q:

Answer.the following attachments. 1.Exchange Rate Overshooting Use the foreign exchange and money market diagrams to answer the following questions about the relationship between the Indian rupee...

Q:

The charactertistic polynomial of the matrix C = is p(A) = (A 1)(A 2). - = The matrix has two distinct eigenvalues, 1

Q:

6. -1 12 The charactertistic polynomial of the matrix C = -11 -2 -15 -7 1 -13 is p(1) = -(1 + 4)(1 + 1). The matrix has two distinct eigenvalues, 1

Q:

Let A = [23]. Find, a) Find the eigenvalues and eigenvectors of A. b) Verify that det(A) is the product of its eigenvalues. 4 c) Is matrix A diagonalizable? If yes, find matrix P and diagonal matrix...

Q:

13. PLEASE HELP!!! Assignment Submission For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the...

Q:

(Matrix Algebra: Diagonalization). Consider the matrix A 3 4 = (4 -9) -6 Verify whether or not A is diagonalizable, and if yes, find a matrix X which diagonalizes it. (i) Start with finding the...

Q:

Create a function in MATLAB: function [ ] = eigen(A) The function eigen(A) will have a set of commands which will produce the following outputs for an n x n matrix A (each output has to be supplied...

Q:

It requires MatLab and if you could explain it step by step I would appreciate it a lot. Thank you! 14 12 38 12 -19 7 24 26 76 24 -38 14 14 14 48 14 -23 9 -31 -36 -104 -34 52 21 45 40 140 4068 25 31...

Q:

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

Q:

Estimate the p-value as a range using Appendix D (not Excel): a. t = 1.457, d.f. = 14, right-tailed test b. t = 2.601, d.f. = 8, two-tailed test c. t = 21.847, d.f. = 22, left-tailed test

Q:

A flow of moist air at 45oC, 10% relative humidity with a flow rate of 0.2 kg/s dry air is mixed with a flow of moist air at 25oC, and absolute humidity of w = 0.018 with a rate of 0.3 kg/s dry air....

Q:

Kyanna, I hope you're doing well. I wanted to follow up on our last meeting with Ronald, Samantha, and Lawrence. Ronald was discussing the financials of other companies in our industry and drew...

Q:

Payments of 1 5 0 0 will be made at the end of every year for 1 3 years using an nonyl rate of 6 . 5 compounded monthly calculate the annuiTy present value and future value