Question
In: Advanced Math
the matrix A=[-5,1;-21,5] has eigenvalues Г1=-2 and Г2 = 2 the basis of the eigenspace v1=[1,3]...
the matrix A=[-5,1;-21,5] has eigenvalues Г1=-2 and Г2
= 2 the basis of the eigenspace v1=[1,3] v2=[1,7]
find the invertible matrix S and diagonal matrix D such that S^-1
AS=D
S=
D=
Solutions
Colby Messinger answered 2 years agoRelated Solutions
Suppose that a 2 × 2 matrix A has eigenvalues λ = -3 and 4, with...
Suppose that a 2 × 2 matrix A has eigenvalues λ = -3 and 4, with
corresponding eigenvectors [1m1]and [7,2], respectively. Find
A^2.
Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. 2 −2 5...
Find the characteristic equation and the eigenvalues (and
corresponding eigenvectors) of the matrix. 2 −2 5 0 3 −2 0 −1 2 (a)
the characteristic equation (b) the eigenvalues (Enter your answers
from smallest to largest.) (λ1, λ2, λ3) = the corresponding
eigenvectors x1 = x2 = x3 =
find all eigenvalues and eigenvectors of the given matrix A= [1 0 0 2 1 -2...
find all eigenvalues and eigenvectors of the given matrix
A= [1 0 0
2 1 -2
3 2 1]
eigenvalues of the matrix A = [1 3 0, 3 ?2 ?1, 0 ?1 1] are...
eigenvalues of the matrix A = [1 3 0, 3 ?2 ?1, 0 ?1 1] are 1, ?4
and 3. express the equation of the surface x^2 ? 2y^2 + z^2 + 6xy ?
2yz = 16. How should i determine the order of the coefficient in
the form X^2/A+Y^2/B+Z^2/C=1?
True or False. 1. If the set {v1,v2} is a basis of R^2, then the set...
True or False.
1. If the set {v1,v2} is a basis of R^2, then the set {v1,v1+v2}
is also a basis of R^2.
2.If W be a vector space and V1,V2 are subspaces of W, then V1 u
V2 is also a subspace of W. V1 u V2 denotes the union of V1 and V2,
i.e. the set of vectors which belong to either V1 or V2 (or to
both).
3.If W be a vector space and V1,V2 are subspaces...
Find all eigenvalues and their corresponding eigenspaces of the following matrix.
Find all eigenvalues and their corresponding eigenspaces of the following matrix. B=\( \begin{pmatrix}2&-3&1\\ 1&-2&1\\ 1&-3&2\end{pmatrix} \)
Find all eigenvalues and their corresponding eigenspaces of the following matrix.
Find all eigenvalues and their corresponding eigenspaces of the following matrix. A.\( \begin{pmatrix}3&0\\ 1&2\end{pmatrix} \)
Prove: An (n × n) matrix A is not invertible ⇐⇒ one of the eigenvalues of...
Prove: An (n × n) matrix A is not invertible ⇐⇒ one of the
eigenvalues of A is λ = 0
The 3 x 3 matrix A has eigenvalues 5 and 4. (a) Write the characteristic polynomial...
The 3 x 3 matrix A has eigenvalues 5 and 4.
(a) Write the characteristic polynomial of A.
(b) Is A diagonalizable ? Explain your answer. If A is
diagonalizable, find an invertible matrix P and diagonal matrix D
that diagonalize A.
Matrix A :
4 0 -2
2 5 4
0 0 5
Consider the given matrix. −1 2 −5 1 Find the eigenvalues. (Enter your answers...
Consider the given matrix.
−1
2
−5
1
Find the eigenvalues. (Enter your answers as a comma-separated
list.)
λ = 3i,−3i
(I got these right)
Find the eigenvectors of the matrix. (Enter your answers in order
of the corresponding eigenvalues, from smallest to largest by real
part, then by imaginary part.)
K1 =
K2 =
I can't seem to get the eigenvectors right.
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