![Orthogonally diagonalize A as PDPT A = O a. 1 V2 2 P= 0-102 2 2 b. 12 P = o=[6] -4 0 06 √ √2 OC. 2 V2 -60 P= D = 0 4 2 V2 002](http://img.homeworklib.com/questions/f4c03de0-f59e-11ea-bd22-81ad21952a07.png?x-oss-process=image/resize,w_560)
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![Given matric A= 5] 5 Now we have to find Eigen values and Eigen vectors of the given matsie. Here charecteristic Equation is](http://img.homeworklib.com/questions/18eafb50-f59f-11ea-9602-c3bfc90b2948.png?x-oss-process=image/resize,w_560)
![Now. solve the matoisc equation [] [%] - [] If we take V₂=t then vizt, et [+] = [2]t Eigen vector for d= -4 A +40= 1 [ 1 ] +](http://img.homeworklib.com/questions/1a4d2170-f59f-11ea-b5f5-a54e70455823.png?x-oss-process=image/resize,w_560)
![whose in th column is from the matria e the ith Eigen vector P= 1 -2 1] 1 From the diagonal matoix D, whose element at row i,](http://img.homeworklib.com/questions/1b7681c0-f59f-11ea-9ed9-abc167f921f6.png?x-oss-process=image/resize,w_560)
Orthogonally diagonalize A as PDPT A = [5] O a. 1 P = 1 v2 V2...
Orthogonally diagonalize A as PDPT A = [5] O a. 1 P = 1 v2 V2 1 1 /2 √2 D = -[6-4) b. O 1 2 1 2 6 0 P= D = 1 1 0-4 2 2 1 2 12 P = D = = [ ] 0-4 6 0 1 v2 d. 1 1 12 P = 12 1 v2 0-19 1 Oe. 1 1 P= 2 12 1 (2 √2 D-[64] of p=[171] -- [6 -4]
Orthogonally diagonalize as a. b. c. d. e. f. Orthogonally diagonalize A as PDPT A =...
Orthogonally diagonalize as
a.
b.
c.
d.
e.
f.
Orthogonally diagonalize A as PDPT A = ['$ ] a. 1 2 P = 1 2 1 2 D [ 6 0 0-4 1 2 b . Р = 1 1 2 12 1 1 2 2 D = 16] -60 04 - C. 2 2 P= D = 0-4 6 0 2 12 *-=[17] --66--] 0-60] O e. 1 2 v2 P = 2 12 O f. 1 2 Sila...
linear algebra 2 parts part a part b А PDPT Orthogonally diagonalize as A = 1...
linear algebra 2 parts
part a
part b
А PDPT Orthogonally diagonalize as A = 1 22 1 1 V2 V2 -- P- 0-[8] b. 1 1 2 P- 0-16] 1 1 V2V P- 1 1 12 2 1 √2/2 0-168] 1 d. P 1 1 V2 V2 1 1 √ √ 0-16] e. p=[17] -=[:-] f. 1 P= 1 2 2 1 1 2 2 0-[• -] Solve the system 5 = ;3x - ܕܠ ܐ2 + X1 13...
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
7.1.21 Question Help Orthogonally diagonalize the matrix, giving an orthogonal matrix and a diagonal matrix D....
7.1.21 Question Help Orthogonally diagonalize the matrix, giving an orthogonal matrix and a diagonal matrix D. To save time, the eigenvalues are 17, 13, and 1. 8 7 1 1 Enter the matrices P and D below. 0 0 22 2 3 0 0 1 0 0 0 0 1 0 0 0 0 13 0 0 0 0 17 - 1 1 1 (Use a comma to separate matrices as needed. Type exact answers, using radicals as needed. Do...
16.-1 points poolelinalg4 5.4.006.nva My Notes Ask Your Teache Orthogonally diagonalize the matrix below by finding an orthogonal matrix Q and a diagonal matrix D such that QT AQ = D separated list.)...
16.-1 points poolelinalg4 5.4.006.nva My Notes Ask Your Teache Orthogonally diagonalize the matrix below by finding an orthogonal matrix Q and a diagonal matrix D such that QT AQ = D separated list.) Enter each matrix in the form row 1 row 2 where each row is a comma- 3 3 0 0 4 3 Need Help? 17. 1 points poolelinalg4 5.4.009 nva My Notes Ask Your Teacher Orthogonally diagonalize the matrix below by finding an orthogonal matrix Q and...
Please write every step done, the gram-Schmidt process I cannot understand 6. Orthogonally diagonalize each of...
Please write every step done, the gram-Schmidt process I
cannot understand
6. Orthogonally diagonalize each of the following symmetric matrices. Give the similarity transformation. 112] (b) 11 2 1 -8 1 3 7. Orthogonally diagonalize each of the following symmetric matrices. Give the similarity transformation. 1 31 L3 9 1.5-0.5 -0.5 1.5
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
Diagonalize A -- [42] a. A = PDP-1 b. A = PDP-1 D = OCA =...
Diagonalize A -- [42] a. A = PDP-1 b. A = PDP-1 D = OCA = PDP-1 P= P-[2] [3] P=[} 7] - [*] -- [47] 2-[5 -2] = (-41] [62] P=1-32] = [63] P=[17] -7] d. A = PDP-1 P= Oe. A = PDP-1 Of. A = PDP-1 D =
/ 4 100 (12 pts.) Let A=| 0 -1 0). If it is possible to diagonalize...
/ 4 100 (12 pts.) Let A=| 0 -1 0). If it is possible to diagonalize A, find P and D such that A = PDP-1. 0 0 4 If it is not possible to diagonalize A, explain why not.
Orthogonally diagonalize A as PDPT A = [5] O a. 1 P = 1 v2 V2 1 1 /2 √2 D = -[6-4) b. O 1 2 1 2 6 0 P= D = 1 1 0-4 2 2 1 2 12 P = D = = [ ] 0-4 6 0 1 v2 d. 1 1 12 P = 12 1 v2 0-19 1 Oe. 1 1 P= 2 12 1 (2 √2 D-[64] of p=[171] -- [6 -4]
Orthogonally diagonalize as
a.
b.
c.
d.
e.
f.
Orthogonally diagonalize A as PDPT A = ['$ ] a. 1 2 P = 1 2 1 2 D [ 6 0 0-4 1 2 b . Р = 1 1 2 12 1 1 2 2 D = 16] -60 04 - C. 2 2 P= D = 0-4 6 0 2 12 *-=[17] --66--] 0-60] O e. 1 2 v2 P = 2 12 O f. 1 2 Sila...
linear algebra 2 parts
part a
part b
А PDPT Orthogonally diagonalize as A = 1 22 1 1 V2 V2 -- P- 0-[8] b. 1 1 2 P- 0-16] 1 1 V2V P- 1 1 12 2 1 √2/2 0-168] 1 d. P 1 1 V2 V2 1 1 √ √ 0-16] e. p=[17] -=[:-] f. 1 P= 1 2 2 1 1 2 2 0-[• -] Solve the system 5 = ;3x - ܕܠ ܐ2 + X1 13...
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
7.1.21 Question Help Orthogonally diagonalize the matrix, giving an orthogonal matrix and a diagonal matrix D. To save time, the eigenvalues are 17, 13, and 1. 8 7 1 1 Enter the matrices P and D below. 0 0 22 2 3 0 0 1 0 0 0 0 1 0 0 0 0 13 0 0 0 0 17 - 1 1 1 (Use a comma to separate matrices as needed. Type exact answers, using radicals as needed. Do...
16.-1 points poolelinalg4 5.4.006.nva My Notes Ask Your Teache Orthogonally diagonalize the matrix below by finding an orthogonal matrix Q and a diagonal matrix D such that QT AQ = D separated list.) Enter each matrix in the form row 1 row 2 where each row is a comma- 3 3 0 0 4 3 Need Help? 17. 1 points poolelinalg4 5.4.009 nva My Notes Ask Your Teacher Orthogonally diagonalize the matrix below by finding an orthogonal matrix Q and...
Please write every step done, the gram-Schmidt process I
cannot understand
6. Orthogonally diagonalize each of the following symmetric matrices. Give the similarity transformation. 112] (b) 11 2 1 -8 1 3 7. Orthogonally diagonalize each of the following symmetric matrices. Give the similarity transformation. 1 31 L3 9 1.5-0.5 -0.5 1.5
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
Diagonalize A -- [42] a. A = PDP-1 b. A = PDP-1 D = OCA = PDP-1 P= P-[2] [3] P=[} 7] - [*] -- [47] 2-[5 -2] = (-41] [62] P=1-32] = [63] P=[17] -7] d. A = PDP-1 P= Oe. A = PDP-1 Of. A = PDP-1 D =
/ 4 100 (12 pts.) Let A=| 0 -1 0). If it is possible to diagonalize A, find P and D such that A = PDP-1. 0 0 4 If it is not possible to diagonalize A, explain why not.
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