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e Diagonalize the matrices and compute A and B10. 「3000 2 2 A=1141| and B=10200 1 0 0 3 e Diagonalize the matrice...
1. Orthogonally diagonalize the following matrices, if possible. If it is possi- on of the matrix ble, give the spectral decompositi 0-3 0 2 1. Orthogonally diagonalize the following matrices, i...
1. Orthogonally diagonalize the following matrices, if possible. If it is possi- on of the matrix ble, give the spectral decompositi 0-3 0 2
1. Orthogonally diagonalize the following matrices, if possible. If it is possi- on of the matrix ble, give the spectral decompositi 0-3 0 2
7 3. Diagonalize A = 1 0 0 0 . Use this diagonalization to compute A"....
7 3. Diagonalize A = 1 0 0 0 . Use this diagonalization to compute A". 15 -2)
7 -1 -1 3. Diagonalize A = 0 0 Use this diagonalization to compute A". 15...
7 -1 -1 3. Diagonalize A = 0 0 Use this diagonalization to compute A". 15 -2
16. Diagonalize the following matrices if possible. (If not possible explain why not) Then compute A2....
16. Diagonalize the following matrices if possible. (If not possible explain why not) Then compute A2. (Use the diagonal matrix to do the computation if A was diagonalizable) One of the Eigen-values is provided to get you started. A= [-2 3 1-9 10 -1 15 4 -2 10. 2=4
Diagonalize a. b. c. d. e. f. Diagonalize A A = 1 3 4 2 a....
Diagonalize
a.
b.
c.
d.
e.
f.
Diagonalize A A = 1 3 4 2 a. A = PDP-1 b. A = PDP-1 1 Р 1 1 OC. A = PDP-1 -1 3 P = 2 5 d. A = PDP-1 -3 1 P= -4 1 e. A = PDP-1 1 -1 P 3 1 Of A = PDP-1 P-[31] -- [6-2] [37] - [64] P=[ +3 z] --[: = D = 10 03
2. (14pts) Diagonalize the following matrices, B = [ 4 1 1 1] 1 4 1...
2. (14pts) Diagonalize the following matrices, B = [ 4 1 1 1] 1 4 1 1 A= 1 1 4 1 1 1 1 4 Find formulas for Ak, Bk, k > 1. [ 4 0 | 0 4 0 0 | 1 0 0 0 1 0 0 2 0 0 2
Problem 5 Diagonalize B and compute XA*X-1 to prove this formula for Be, (sections 6.1, 6.2) Bk=15+ 5+-4k has 0 41, Compute also , end sin 0 4 Problem 5 Diagonalize B and compute XA*X-1 to prove...
Problem 5 Diagonalize B and compute XA*X-1 to prove this formula for Be, (sections 6.1, 6.2) Bk=15+ 5+-4k has 0 41, Compute also , end sin 0 4
Problem 5 Diagonalize B and compute XA*X-1 to prove this formula for Be, (sections 6.1, 6.2) Bk=15+ 5+-4k has 0 41, Compute also , end sin 0 4
2 0 -21 3. Let A= 1 3 2 LO 0 3 (a) Find the characteristic...
2 0 -21 3. Let A= 1 3 2 LO 0 3 (a) Find the characteristic equation of A. in Find the other (b) One of the eigenvalues for A is ) = 2 with corresponding eigenvector 1 10 eigenvalue and a basis for the eigenspace associated to it. (e) Find matrices S and B that diagonalize A, if possible.
If A and B are 3x3 matrices and A = 1, |B 3, compute the determinant If A and B are 3x3 matrices and A = 1, |B...
If A and B are 3x3 matrices and A = 1, |B 3, compute the determinant
If A and B are 3x3 matrices and A = 1, |B 3, compute the determinant
5. Suppose A, B are 2 × 2 matrices, such that 1 -3 (a) Compute (AB)-1...
5. Suppose A, B are 2 × 2 matrices, such that 1 -3 (a) Compute (AB)-1 Answer: (b) Compute (A)-1 Answer:
1. Orthogonally diagonalize the following matrices, if possible. If it is possi- on of the matrix ble, give the spectral decompositi 0-3 0 2
1. Orthogonally diagonalize the following matrices, if possible. If it is possi- on of the matrix ble, give the spectral decompositi 0-3 0 2
7 3. Diagonalize A = 1 0 0 0 . Use this diagonalization to compute A". 15 -2)
7 -1 -1 3. Diagonalize A = 0 0 Use this diagonalization to compute A". 15 -2
16. Diagonalize the following matrices if possible. (If not possible explain why not) Then compute A2. (Use the diagonal matrix to do the computation if A was diagonalizable) One of the Eigen-values is provided to get you started. A= [-2 3 1-9 10 -1 15 4 -2 10. 2=4
Diagonalize
a.
b.
c.
d.
e.
f.
Diagonalize A A = 1 3 4 2 a. A = PDP-1 b. A = PDP-1 1 Р 1 1 OC. A = PDP-1 -1 3 P = 2 5 d. A = PDP-1 -3 1 P= -4 1 e. A = PDP-1 1 -1 P 3 1 Of A = PDP-1 P-[31] -- [6-2] [37] - [64] P=[ +3 z] --[: = D = 10 03
2. (14pts) Diagonalize the following matrices, B = [ 4 1 1 1] 1 4 1 1 A= 1 1 4 1 1 1 1 4 Find formulas for Ak, Bk, k > 1. [ 4 0 | 0 4 0 0 | 1 0 0 0 1 0 0 2 0 0 2
Problem 5 Diagonalize B and compute XA*X-1 to prove this formula for Be, (sections 6.1, 6.2) Bk=15+ 5+-4k has 0 41, Compute also , end sin 0 4
Problem 5 Diagonalize B and compute XA*X-1 to prove this formula for Be, (sections 6.1, 6.2) Bk=15+ 5+-4k has 0 41, Compute also , end sin 0 4
2 0 -21 3. Let A= 1 3 2 LO 0 3 (a) Find the characteristic equation of A. in Find the other (b) One of the eigenvalues for A is ) = 2 with corresponding eigenvector 1 10 eigenvalue and a basis for the eigenspace associated to it. (e) Find matrices S and B that diagonalize A, if possible.
If A and B are 3x3 matrices and A = 1, |B 3, compute the determinant
If A and B are 3x3 matrices and A = 1, |B 3, compute the determinant
5. Suppose A, B are 2 × 2 matrices, such that 1 -3 (a) Compute (AB)-1 Answer: (b) Compute (A)-1 Answer:
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