Question

Calculate the eigenvalues and eigenvectors of the following matrices. B = a11=c, a12=m a21=-m and a22=c...

Calculate the eigenvalues and eigenvectors of the following matrices.

B = a11=c, a12=m

a21=-m and a22=c

  

Homework Answers

Answer #1

Please appreciate my work.
If you have any query regarding this question. You are free to ask.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let A be a matrix with m distinct, non-zero, eigenvalues. Prove that the eigenvectors of A...
Let A be a matrix with m distinct, non-zero, eigenvalues. Prove that the eigenvectors of A are linearly independent and span R^m. Note that this means (in this case) that the eigenvectors are distinct and form a base of the space.
If A and B are conjugate matrices they have the same eigenvectors.
If A and B are conjugate matrices they have the same eigenvectors.
We say two n × n matrices A and B are similar if there is an...
We say two n × n matrices A and B are similar if there is an invertible n × n matrix P such that A = PBP^ -1. a) Show that if A and B are similar n × n matrices, then they must have the same determinant. b) Show that if A and B are similar n × n matrices, then they must have the same eigenvalues. c) Give an example to show that A and B can be...
Let matrices A,B∈Mn×n(R). Show that if A and B are each similar to some diagonal matrix,...
Let matrices A,B∈Mn×n(R). Show that if A and B are each similar to some diagonal matrix, and also have the same eigenvectors (but not necessarily the same eigenvalues), then  AB=BA.
dy/dt = x- (1/2)y dy/dt =2x +3y a)matrix form b)find eigenvalues/eigenvectors c)genreal solution
dy/dt = x- (1/2)y dy/dt =2x +3y a)matrix form b)find eigenvalues/eigenvectors c)genreal solution
4. Let A = [-5 -5] [5 -5] a. Find the eigenvalues and eigenvectors for A....
4. Let A = [-5 -5] [5 -5] a. Find the eigenvalues and eigenvectors for A. b. Find an invertible matrix P and a matrix C of the form [a -b] such that A=PCP-1. [b a] c. For the transformation given by T(x) = Ax find the scaling factor and the angle of rotation.
Find eigenvectors associated with the eigenvalues of the following linear operator: (please show all steps) V=...
Find eigenvectors associated with the eigenvalues of the following linear operator: (please show all steps) V= R^3; T(x1,x2,x3) = (x1+x2, 2x2+2x3, 3x3)
8. The Probability Calculus - Bayes's Theorem Bayes's Theorem is used to calculate the conditional probability...
8. The Probability Calculus - Bayes's Theorem Bayes's Theorem is used to calculate the conditional probability of two or more events that are mutually exclusive and jointly exhaustive. An event's conditional probability is the probability of the event happening given that another event has already occurred. The probability of event A given event B is expressed as P(A given B). If two events are mutually exclusive and jointly exhaustive, then one and only one of the two events must occur....
Suppose A and B are invertible matrices, with A being m x m and B being...
Suppose A and B are invertible matrices, with A being m x m and B being n x n. For any m x n matrix C and any n x m matrix D, show that : a) (A + CBD)-1 = A-1- A-1C(B-1 + DA-1C)-1DA-1 b) If A, B and A + B are all m x m invertible matrices, then deduce from (a) above that (A + B)-1 = A-1 - A-1(B-1 + A-1)-1A-1
Linear Algebra question:Suppose A and B are invertible matrices,with A being m*m and B n*n.For any...
Linear Algebra question:Suppose A and B are invertible matrices,with A being m*m and B n*n.For any m*n matrix C and any n*m matrix D,show that: a)(A+CBD)-1-A-1C(B-1+ DA-1C)-1DA-1 b) If A,B and A+B are all m*m invertible matrices,then deduce from a) above that (A+B)-1=A-1-A-1(B-1+A-1)-1A-1
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT