One eigenvalue of the matrix A 3 -8-5 - 20 0 5 -1 -2 0 0 4 -2 -2 -8 -2 -9 is X₁ = 5. Find enough vectors to form a basis of the eigenspace of A corresponding to X₁. Fill vectors from left to right. Leave unneeded vectors blank.

Q: a+b 9. Let Aab = b -5 -3a2b-a² (a) Find values of a and b for which this matrix is symmetric. (b)…

A: Step 1:Step 2:Step 3:Step 4:

Q: Matrix A is factored in the form PDP- 1. Use the Diagonalization Theorem to find the eigenvalues of…

A:

Q: Find the eigenvalues of the given matrix. -24 25 -20 21

A:

Q: Diagonalize the matrix below, if possible. The eigenvalues for A are )= 1,2. 0 -4 -6 A -1 -3 1 2 5

A:

Q: find the eigenvalues of each matrix and determine a basis for each eigenspace. -3 -12 0 0 30 -4 -8

A:

Q: Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter…

A:

Q: Find a basis for the eigenspace corresponding to the eigenvalue. 4. 3 -2 A = 9-4 A= 3 -1-3 A basis…

A:

Q: Find the eigenvalues of the matrix. -2 -2 4 A = -4 1 2 2 2

A: First I have find the characteristic polynomial of given matrix , then find its root and these are…

Q: Matrix A is factored in the form PDP-1. Use the Diagonalization Theorem to find the eigenvalues of A…

A: We have to find eigen value and eigen vector and eigen space with the help of triangular matrix

Q: Select an Answer ✓ 1. A = [ A = -40 22 -66 37 Select an Answer -2 -3 , V = 6 -11 2. 1 :]. [] V= 1 1…

A: If 'v' is the eigen vector of matrix A then .

Q: Matrix A is factored in the form PDP-1. Use the Diagonalization Theorem to find the eigenvalues of A…

A:

Q: For the matrix, list the real eigenvalues, repeated according to their multiplicities. 6 -2 0 8 0 6…

A: An eigenvector or characteristic vector of a linear transformation is a nonzero vector that changes…

Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save…

A:

Q: Find a basis for the eigenspace corresponding to the eigenvalue. 9 -1 2 A = 56 2=8 - 3 3 2 A basis…

A:

Q: One eigenvalue of the matrix A 1 12 167 -3 14 12 is A₁ = 5. -10 30 45. Find enough vectors to form a…

A:

Q: 5 -1 0 -5 9 5 -1 0,

A:

Q: Find a basis for the eigenspace corresponding to the eigenvalue. 4 3 -2 A = 9 - 4 A= 3 -1-3 A basis…

A:

Q: Determine if v is an eigenvector of the matrix B -47 26 2 B = , v = -78 44 -5

A:

Q: Find a basis for the eigenspace corresponding to the eigenvalue. - 2 |,2 = 8 7 A= - 3 A basis for…

A: We have to find the basis of eigen space corresponding to given eigen value

Q: Determine whether the eigenvalues of each matrix are distinct real, repeated real, or complex. -5…

A:

Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save…

A: