![2 (1 point) Show that A= 55 -3 1] 2 0 1 LO 03 and B= -3 9 | 12 0 6 -4 are similar matrices by finding an invertible matrix P](http://img.homeworklib.com/questions/80f2cb40-970d-11eb-b15c-c7c3549f8a2c.png?x-oss-process=image/resize,w_560)
Homework Answers
1-1 -1 11 TO (1 point) Show that A= 0 -2 1 and B=1-13 LO 0...
1-1 -1 11 TO (1 point) Show that A= 0 -2 1 and B=1-13 LO 0 -1 1 -8 invertible matrix P satisfying A = P-BP. 2 -27 -16 -31 39 are similar matrices by finding an 23 P-1 = ТР
point) Show that A57-133 24 56 and B 2 2 are similar matrices by finding an invertible matrix P satisfying A P-IBP. 30 72 3/30 72/3 point) Show that A57-133 24 56 and B 2 2 are similar matri...
point) Show that A57-133 24 56 and B 2 2 are similar matrices by finding an invertible matrix P satisfying A P-IBP. 30 72 3/30 72/3
point) Show that A57-133 24 56 and B 2 2 are similar matrices by finding an invertible matrix P satisfying A P-IBP. 30 72 3/30 72/3
Problem 4. Let B = {V1, 02, 03} CR, where [3] [1] 01 = 12, 02...
Problem 4. Let B = {V1, 02, 03} CR, where [3] [1] 01 = 12, 02 = 12103 = 1 [1] [2] 4.1. Show that the matrix A = (v1 V2 V3) E M3(R) is invertible by finding its inverse. Conclude that B is a basis for R3. 4.2. Find the matrices associated to the coordinate linear transformation T:R3 R3, T(x) = (2]B- and its inverse T-1: R3 R3. Use your answers to find formulas for the vectors 211 for...
1 A= 11 3 0 0 0 0 0 0 0 0 1 LO 0 0...
1 A= 11 3 0 0 0 0 0 0 0 0 1 LO 0 0 0 ro 0 0 LO 1 1 0] 0 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 LO 0 0 C = 11 0 0 0 Which of the matrices below is the reduced row echelon matrix A. Matrix A and B B. Matrix A and C C. Matrix B and C D. All matrices...
(1 point) A matrix A is said to be similar to a matrix B if there...
(1 point) A matrix A is said to be similar to a matrix B if there is an invertible matrix P such that B = PAP 1 Let A1, A2, and A3 be 3 x 3 matrices Prove that if A1 is similar to A2 and A2 is similar to A3, then A similar to A. Proof: Since A1 is similar to A2, for some invertible matrix P for some invertible matrix Q Since A2 is similar to A3 for...
2. [-12 Points) DETAILS LARLINALG8 7.2.005. Consider the following. -4 20 0 1 -3 A =...
2. [-12 Points) DETAILS LARLINALG8 7.2.005. Consider the following. -4 20 0 1 -3 A = 040 P= 04 0 4 0 2 1 2 2 (a) Verify that A is diagonalizable by computing p-AP. p-1AP = 11 (b) Use the result of part (a) and the theorem below to find the eigenvalues of A. Similar Matrices Have the Same Eigenvalues If A and B are similar n x n matrices, then they have the same eigenvalues. (91, 12, 13)...
Answer 7,8,9 1-11-1)--[-13.-(41-44)--:-- 3 1 0 0 -1 0 5 4 2-3 0 0 0 6....
Answer 7,8,9
1-11-1)--[-13.-(41-44)--:-- 3 1 0 0 -1 0 5 4 2-3 0 0 0 6. Consider the matrix A, above. Use diagonalization to evaluate A. 7. Consider the matrix B, above. Find a diagonal matrix D, and invertible matrix P, such that BPDP-1 8. Consider the matrix C, above. Find a diagonal matrix D, and invertible matrix P, such that C = PDP-1. If this is not possible, thus the matrix is not diagonalizable, explain why. 9. Consider the...
13 please 8. b. -2 3 0 0 0 0 -1 2 0 0-4 0 3...
13 please
8. b. -2 3 0 0 0 0 -1 2 0 0-4 0 3 0-2 0 3 0 0 -2 0 3 0 4 o0-1 6 0 0 1 o 2 6 0 0 -1 6 10. For any positive integer k, prove that det(4t) - de(A)*. 11. Prove that if A is invertible, then den(A-1)- I/der(A) - det(4)- 12. We know in general that A-B丰B-A for two n x n matrices. However, prove that: det(A . B)-det(B...
(1 point) The matrix [-1 0 -2] A = | 2 -3 -2 lo 0 -3]...
(1 point) The matrix [-1 0 -2] A = | 2 -3 -2 lo 0 -3] has two real eigenvalues, l1 = -3 of multiplicity 2, and 12 = -1 of multiplicity 1. Find an orthonormal basis for the eigenspace corresponding to 11.
1-11 23 )--[-!?). - (111) DE 1 0 0 4 1 - 4 4 0-3 0...
1-11 23 )--[-!?). - (111) DE 1 0 0 4 1 - 4 4 0-3 0 0 0 3 0 0 -1 0 5 4 2-3 E = 6. Consider the matrix A, above. Use diagonalization to evaluate A. 7. Consider the matrix B, above. Find a diagonal matrix D, and invertible matrix P, such that B = PDP- 8. Consider the matrix C, above. Find a diagonal matrix D, and invertible matrix P, such that C = PDP-!. If...
1-1 -1 11 TO (1 point) Show that A= 0 -2 1 and B=1-13 LO 0 -1 1 -8 invertible matrix P satisfying A = P-BP. 2 -27 -16 -31 39 are similar matrices by finding an 23 P-1 = ТР
point) Show that A57-133 24 56 and B 2 2 are similar matrices by finding an invertible matrix P satisfying A P-IBP. 30 72 3/30 72/3
point) Show that A57-133 24 56 and B 2 2 are similar matrices by finding an invertible matrix P satisfying A P-IBP. 30 72 3/30 72/3
Problem 4. Let B = {V1, 02, 03} CR, where [3] [1] 01 = 12, 02 = 12103 = 1 [1] [2] 4.1. Show that the matrix A = (v1 V2 V3) E M3(R) is invertible by finding its inverse. Conclude that B is a basis for R3. 4.2. Find the matrices associated to the coordinate linear transformation T:R3 R3, T(x) = (2]B- and its inverse T-1: R3 R3. Use your answers to find formulas for the vectors 211 for...
1 A= 11 3 0 0 0 0 0 0 0 0 1 LO 0 0 0 ro 0 0 LO 1 1 0] 0 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 LO 0 0 C = 11 0 0 0 Which of the matrices below is the reduced row echelon matrix A. Matrix A and B B. Matrix A and C C. Matrix B and C D. All matrices...
(1 point) A matrix A is said to be similar to a matrix B if there is an invertible matrix P such that B = PAP 1 Let A1, A2, and A3 be 3 x 3 matrices Prove that if A1 is similar to A2 and A2 is similar to A3, then A similar to A. Proof: Since A1 is similar to A2, for some invertible matrix P for some invertible matrix Q Since A2 is similar to A3 for...
2. [-12 Points) DETAILS LARLINALG8 7.2.005. Consider the following. -4 20 0 1 -3 A = 040 P= 04 0 4 0 2 1 2 2 (a) Verify that A is diagonalizable by computing p-AP. p-1AP = 11 (b) Use the result of part (a) and the theorem below to find the eigenvalues of A. Similar Matrices Have the Same Eigenvalues If A and B are similar n x n matrices, then they have the same eigenvalues. (91, 12, 13)...
Answer 7,8,9
1-11-1)--[-13.-(41-44)--:-- 3 1 0 0 -1 0 5 4 2-3 0 0 0 6. Consider the matrix A, above. Use diagonalization to evaluate A. 7. Consider the matrix B, above. Find a diagonal matrix D, and invertible matrix P, such that BPDP-1 8. Consider the matrix C, above. Find a diagonal matrix D, and invertible matrix P, such that C = PDP-1. If this is not possible, thus the matrix is not diagonalizable, explain why. 9. Consider the...
13 please
8. b. -2 3 0 0 0 0 -1 2 0 0-4 0 3 0-2 0 3 0 0 -2 0 3 0 4 o0-1 6 0 0 1 o 2 6 0 0 -1 6 10. For any positive integer k, prove that det(4t) - de(A)*. 11. Prove that if A is invertible, then den(A-1)- I/der(A) - det(4)- 12. We know in general that A-B丰B-A for two n x n matrices. However, prove that: det(A . B)-det(B...
(1 point) The matrix [-1 0 -2] A = | 2 -3 -2 lo 0 -3] has two real eigenvalues, l1 = -3 of multiplicity 2, and 12 = -1 of multiplicity 1. Find an orthonormal basis for the eigenspace corresponding to 11.
1-11 23 )--[-!?). - (111) DE 1 0 0 4 1 - 4 4 0-3 0 0 0 3 0 0 -1 0 5 4 2-3 E = 6. Consider the matrix A, above. Use diagonalization to evaluate A. 7. Consider the matrix B, above. Find a diagonal matrix D, and invertible matrix P, such that B = PDP- 8. Consider the matrix C, above. Find a diagonal matrix D, and invertible matrix P, such that C = PDP-!. If...
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