Question
In: Advanced Math
Consider the given matrix. 3 0 0 0 2 0 16 ...
Consider the given matrix.
| 3 | 0 | 0 | ||
| 0 | 2 | 0 | ||
| 16 | 0 | 1 |
Find the eigenvalues. (Enter your answers as a comma-separated list.)
λ = 1,2,3
Find the eigenvectors. (Enter your answers in order of the corresponding eigenvalues, from smallest eigenvalue to largest.)
Solutions
Colby Messinger answered 1 year agoRelated Solutions
Consider the matrix A given by [ 2 0 0 ] [ 0 2 3 ]...
Consider the matrix A given by [ 2 0 0 ] [ 0 2 3 ] [ 0 3 10 ]
(20) Find all its eigenvalues and corresponding eigenvectors. Show
your work. (+5) Write down the entire eigendecomposition (i.e. the
matrices X, Lambda, and X inverse) explicitly.
Given a matrix A = [?1 ? ? 0 ?2 ? 0 0 ?2], with ?1...
Given a matrix A = [?1 ? ?
0 ?2 ?
0 0 ?2], with ?1 ≠ ?2 and ?1, ?2 ≠ 0,
A) Find necessary and sufficient conditions on a, b, and c
such that A is diagonalizable.
B) Find a matrix, C, such that C-1 A C = D, where D is
diagonal.
C) Demonstrate this with ?1 = 2, ?2 = 5, and a, b, and c
chosen by you, satisfying your criteria from A).
Consider the matrix A = [2, -1, 1, 2; 0, 2, 1, 1; 0, 0, 2,...
Consider the matrix A = [2, -1, 1, 2; 0, 2, 1, 1; 0, 0, 2, 2; 0,
0, 0, 1]. Find P, so that P^(-1) A P is in Jordan normal form.
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?
Find a matrix P that diagonalizes the matrix A = [ 2 0 ?2 / 0...
Find a matrix P that diagonalizes the matrix A = [ 2 0 ?2 / 0 3
0 / 0 0 3 ] and compute P ?1AP.
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]
Compute the determinant of A, where A= a 4x4 matrix [1 -3 0 0; 2 1...
Compute the determinant of A, where A= a 4x4 matrix [1 -3 0 0; 2
1 0 0; 0 0 1 2; 0 0 2 1] a 4x4 matrix [2 5 4 2; 0 0 0 2; 0 -3 0 -4;
1 0 -1 1] and a 4x4 matrix [1 -3 0 0; 2 1 0 0; 0 0 1 2; 0 0 2
1]^-1.
a) det(A)= -36
b) det(A)= 5
c) det(A)= 0
d) det(A)= -13
e)det(A)= 36
for the matrix, A= [1 2 -1; 2 3 1; -1 -1 -2; 3 5 0]...
for the matrix, A= [1 2 -1; 2 3 1; -1 -1 -2; 3 5 0]
a. calculate the transpose of A multiplied by A
b. find the eigenvectors and eigenvalues of the answer to a
c. Find the SVD of matrix A
first matrix A [ 2 -1 3 ] [-4 0 -2 ] [2 -5 12 ]...
first matrix A
[ 2 -1 3 ]
[-4 0 -2 ]
[2 -5 12 ]
[4 0 4 ]
amd b
[2]
[-2]
[5]
[0]
solve for Ax=b
using tan LU factorization of A
Find the inverse of the matrix A= 2 -1 3 0 1 1 -1 -1 0
Find the inverse of the matrix
A=
2 -1 3
0 1 1
-1 -1 0
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