Tuesday

March 3, 2015

March 3, 2015

Posted by **Chris** on Sunday, March 18, 2007 at 3:12pm.

If x is an eigenvector for the square matrix A corresponding to eigenvalue 5, ie. if Ax = 5x, evaluate A^2x + 11Ax + 3x in terms of x.

Ax = 5x --->

A^2 x = (A A)x = A (A x) = A (5x) =

5 A x = 25 x

**Answer this Question**

**Related Questions**

Math (Linear Algebra) - Sorry, this question is making my head spin. Can someone...

math - Prove that if A is a symmetric n x n matrix, then A has a set of n ...

Linear Algebra - Let A be a 4กม4 matrix with real entries that has all 1's on ...

eigenvalues/eigenvectors - The matrix; [ 1 -2 0] [-2 -1 1] [ 0 0 -1] I have ...

Algebra - for the matrix: { 1 -2 0} {-2 -1 1} { 0 0 -1} I found the eigenvalue ...

Linear Algebra - Consider the linear transformation T: R^3->R^3 which acts by...

science - 1 A ……... is a rectangular array of numbers that are ...

Linear Algebra - Find the eigenvalues and corresponding eigenvectors of the ...

linear algebra - 3. Suppose A is symmetric positive definite and Q is an ...

math,algebra II - I have to work with these types of problems dealing with ...