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## Homework Statement

Find the rank off matrices?

i)A=[2 0 9 2; 1 4 6 0; 3 5 7 1 ] 3X4

ii)A=[3 1 4; 0 5 8; -3 4 4; 1 2 4;] 4X3

Find Eigen Vectors and Values of A;

A = [3 2 4; 2 0 2; 4 2 3 ]

## Homework Equations

-when det(A) is not equal to zero it will the rank of matrices.

- (A-λ)X' = 0

## The Attempt at a Solution

I have calculate all minors ;

det(a) = [ 2 0 9; 1 4 6; 3 5 7] , [2 0 2; 1 4 0; 3 7 1] , [0 9 2; 4 6 0; 5 7 1]

And I found different numbers from zero.Does it mean that rank is 3?

My original question about Eigen Vectors and Values is to understand what is it? And where can we use it?