Math, asked by priyababuraj2000, 5 months ago

matrix A=[2 2 -7
2 1 2
0 1 -3] is -12,find the eigen values of A​

Answers

Answered by arshabia10811
1

Answer:

[1−1021−1]

[0020] or 2x2=0 or x2=0 the eigenvector might be in this form

x

0

(I try to write eigenvector by Latex by always get error -*-)

what is the vaule for x? because no x left after I plug in eigenvalue in matrix

Step-by-step explanation:

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Answered by ishwaryam062001
0

Answer:

The eigenvalues of matrix A are -5, -3, and 4.

Step-by-step explanation:

From the above question,

They have given :

To calculate the characteristic polynomial of matrix A.

The characteristic polynomial of matrix A is given by

det(A - λI) = (2 - λ)(2 - λ)(-3 - λ) + 14 = λ^3 - 8λ^2 + 16λ - 12

The eigenvalues of a matrix are the solutions to the characteristic polynomial of the matrix. The characteristic polynomial of a matrix is a polynomial in the variable λ (lambda) whose coefficients are the entries of the matrix.

To solve the characteristic polynomial to get the eigenvalues.

The eigenvalues of matrix A are the solutions of the characteristic polynomial, which are given by

λ^3 - 8λ^2 + 16λ - 12 = 0

Solving this equation, we get

λ_1 = -5, λ_2 = -3, λ_3 = 4

Hence, the eigenvalues of matrix A are -5, -3, and 4.

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