Find the eigenvalues and eigenvectors of the following matrices Find the eigenvalues and eigenvectors of the following matrices 1 6 0 2 2 0 0 0 5

Find the eigenvalues and eigenvectors of the following matrices Find the eigenvalues and eigenvectors of the following matrices 1 6 0 2 2 0 0 0 5

|A - λ e | = 1 - λ 6 02 2 - λ 00 5 - λ = (5 - λ) [(1 - λ) (2 - λ) - 12] = (5 - λ) (λ ^ 2-3 λ - 10) = (5 - λ) (λ - 5) (λ + 2) the eigenvalue of a is 5,5, and the basic solution system of - 2 (a-5e) x = 0 is A1 = (3,2,0) ^ t, A2 = (0,0,1) ^ T. the eigenvectors belonging to eigenvalue 5 are k1a1 + k2a2, K1

The sum of three diagonal elements of a matrix!
Write in C language! It's better to use C + +! How to write! Thank you! ~ input two-dimensional data through double for loop control
Array a, and then add a [i] [i] to output!

#include
#include
void main()
{
int a[3][3];
Int i, J; / / I is the row and j is the column
int sum=0;
int sum1=0;
//Input
for( i=0; i

Under what conditions do diagonal elements change position and negative diagonal elements change sign?
If the second order inverse matrix is true, why is it not true in the partitioned matrix?

You say it's a two order square matrix
A =
a b
c d
A* =
d -b
-c a
Diagonal elements transpose position, negative diagonal elements check sign
A^-1= [1/(ad-bc)] A*