6. -2 -2 A = 3 6. -2 -2 3 Answer the following questions: 4.1) Find the eigenvalues of A. 4.2) Find a basis for each eigenspace of A. 4.3) Find a matrix that orthogonally diagonalizes A and write the diagonal matrix down.

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: 1) let A be a 3x3 matrix. A = 0 1 01 1 a) Find the characteristic equation 1 O (b) Find the…

A: “Since you have posted multiple questions with multiple sub parts, we will provide the solution only…

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: 1 3 - Q5. Let A be the 2 × 2 matrix 1 1 (a) Find an eigenbasis B for A. (b) Find the B-matrix for A.…

A: As your question contains multiple subpart, so I only first 3 subparts.

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

A:

Q: [5 3 --2 2 3.3 For each of the following two symmetric matrices: (i) and (ii) 2 -4]' 3 0 a) find the…

A:

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: The matrix (matrix image) has one eigenvalue equal to 3. The sum of the other two eigenvalues is...…

A:

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: -4 2 nd each eigenvalue, and a basis for each corresponding eigenspace, for the matrix B= -7 5

A:

Q: Find all the eigenvalues (real and complex) of the matrix -10 -8 -4 M = 10 1 18 11 7 The eigenvalues…

A:

Q: Find a basis for the eigenspace corresponding to the eigenvalue. 1-2 *=[-+²7) A=* A= -4 8 A basis…

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 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: Find the rank and nullity of the given matrix. 3 1 3 The rank is The nullity is Check Answer

A:

Q: Г3 4 Consider the matrix A = . For this matrix: Part (a): Find each eigenvalue, and a basis for each…

A: First we have to find the eigenvalues of the matrix A=340-1, then we will find the eigenvectors…