Question

Find the Eigenvalues and Eigenvectors of [ 2 -2 3 ,1 1 1, 1 3 -1 ].

Answer 1

the eigen values and eigen vectors

for,

[ 2 -2 3 ,

1 1 1,

1 3 -1 ]

Start from forming a new matrix by subtracting λ from the diagonal entries of the given matrix:

The determinant of the obtained matrix is −(λ−3)(λ−1)(λ+2)

Solve the equation −(λ−3)(λ−1)(λ+2)=0.

The roots are λ1=3, λ2=1, λ3=−2

The roots are λ1=3, λ2=1, λ3=−2These are the eigenvalues.

Answer 2

Answer:

Step-by-step explanation:

As per the given question:

eigen vectors and eigen values

for, [ 2 -2 3 ,1 1 1,1 3 -1 ]

Start by removing from the diagonal entries of the existing matrix to create a new one:

The obtained matrix's determinant is (3)(1)(+2)

The equation ((3)(1)(+2)=0 must be solved.

The roots are 1 = 3, 2 = 1, and 3 = 2.

The roots are 1 = 3, 2 = 1, and 3 = 2.

The eigenvalues are as follows.

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