405 views

2 Answers

2 votes
2 votes

If x1, x2, x3,.....xn be the eigen values of a matrix A. Then the eigen values of An are x1n, x2, x3n .....xnn  So here the eigen values of A are 2 and -3. So eigen values of A2 will be (2)2 = 4  and (-3)2 = 9 .

0 votes
0 votes
ans is 4,9
as applying |x|^2
Answer:

Related questions

2 votes
2 votes
2 answers
1
Bikram asked Aug 8, 2016
339 views
If the determinant of an $n \times n$ matrix $A$ is zero thenrank of $A$ is $n$rank of $A\leq n-2$$A$ has at least one zero eigen valuethe system of equations $Ax=0$ has ...
3 votes
3 votes
2 answers
3
Prateek K asked May 2, 2018
4,633 views
Let the eigenvalues of 2 x 2 matrix A be 1, -2 with eigenvectors x1 and x2 respectively. Then the eigenvalues and eigenvectors of the matrix A^2 - 3A+4I would respectivel...
9 votes
9 votes
2 answers
4
Shubhanshu asked May 19, 2017
5,262 views
A 3X3 matrix P is such that, P^3 = P. Then the eigenvalues of P are:1) 1, 1, -12) 1, 0.5 + j0.866, 0.5 - j0.8663) 1, -0.5 + j0.866, -0.5 - j0.8664) 0, 1, -1