Question: Suppose that a 2 x 2 matrix A has an eigenvalue 3 with corresponding eigenvector NE and an eigenvalue -2 with corresponding eigenvector CT Find

Suppose that a 2 x 2 matrix A has an eigenvalue 3 with corresponding eigenvector NE and an eigenvalue -2 with corresponding eigenvector CT Find an invertible matrix P and a diagonal matrix D so that A = PDP-1. Enter your answer as an equation of the form A = PDP-. You must enter a number in every answer blank for the answer evaluator to work properly. 3 0 0 -2

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!

Problem #5: Let A and B be n x n matrices. Which of the following statements are always true? (i) If det(A) = det(B) then det(A B) =0. (ii) If A and B are symmetric, then the matrix AB is also...

1. Write a MATLAB code to find the eigenvalues and eigenvectors of a 3x3 real symmetric matrix. The program should ask a user to enter the 3x3 matrix and output each eigenvalue and the corresponding...

Please Answer 2 1 4. (a) Suppose that a system of equations A = b has a corresponding re- X 3 X 4 duced row echelon form [8 2184] Find the set of solutions to this system of equations. (b) Consider...

Problems : 9,11,24,25,26 Direction : in the exercices 9 and 11 find a basis for the eigenspace corresponding to each listed eigenvalueHello can I have some help here please. Can you write on a sheet...

(a) (2 points} Let S be a triangle in R2 with area 4. Let T(:r) = An: where A = (i 32). Find the area of T(S). (b) (2 points) Suppose A is a 3 x 3 positive stochastic matrix with the property that as...

6. The following is a quiz in a linear algebra course. Prove or disprove the following statements. (a) 0)) If a square matrix A has real entries, then its eigenvalues are real. If A is a 2 X 2...

Explain the concepts with example with detailed step by step explanation. Python code without any inbuilt library. i ) Generate using code a random integer matrix C of size 4 3 and a matrix A 1...

The matrix P has eigenvector e with corresponding eigenvalue 2, and the matrix Q also has eigenvector e with corresponding eigenvalue . Find the corresponding eigenvalues and eigenvectors for the...

2 7. Create a dataset consisting of the points {,,,} and also three points made from the last 6 digits of your B-number. For example, if your B-number is B00123456, include the points {, ,}. We will...

Write down a real matrix that has (a) Eigenvalues -1, 3 and corresponding eigenvectors (b) Eigenvalues 0, 2, -2 and associated eigenvecors (c) An eigenvalue of 3 and corresponding eigenvectors (d) An...

Refer to E18-12 for Sayaka Tar and Gravel Ltd., and assume the same facts for the fiscal year ending December 31, 2011. For the second year of operations, Sayaka made progress on the construction of...

On June 1, Tamara Eder started Crazy Creations Co., a company that provides craft opportunities, by investing $12,000 cash in the business. Following are the assets and liabilities of the company at...

4 . Neo Ventures invests $ 1 5 M in Matrix through pre - money SAFE with a pre - money valuation cap of $ 1 5 0 M . Matrix s new software shows tremendous promise, and a a year later, it attracted a...

A company is preparing completing their Cash Budget. The following data has been prepared for cash receipts and payments. January February March Cash receipts $1,061,200 $1,182,400 $1,091,700 Cash...