Homework Answers
![-10 -18 U1 Eigen value of A. TA - Il co -10-1 -18 9 11 - (-10-1) (11 – 1] +18267, G+lo C-10 +10820 12-11d tind -llot10820 12-](http://img.homeworklib.com/questions/43837b60-f5bd-11ea-aff3-93d6127417b8.png?x-oss-process=image/resize,w_560)
![Ejennector como ponds to Ejenraller Agata [11 w pa ال مع 1P1=-3te IPICI pi-1] 1-74 - pl By diagonalization of Malpix PYAR=D (](http://img.homeworklib.com/questions/451aa080-f5bd-11ea-a315-233dd3d8bf3c.png?x-oss-process=image/resize,w_560)
![Here hab - А p4 А 6 *р* р- 4 (9) 2 21 р: 11 -1 : -1 : [ 1:[: 7 from to n“ : : :11 * *][.. | [.5х6+ 1 1Г, H وت -3 8x3+ А .](http://img.homeworklib.com/questions/45ecb270-f5bd-11ea-952e-1b7d4c0659f4.png?x-oss-process=image/resize,w_560)
Add Answer to:
Let A be a diagonalizable n x n matrix and let P be an invertible n...
Let A be a diagonalizable n x n matrix and let P be an invertible n...
Let A be a diagonalizable n x n matrix and let P be an invertible n x n matrix such that B = P-1AP is the diagonal form of A. Prove that Ak = Pekp-1, where k is a positive integer. Use the result above to find the indicated power of A. 0-2 02-2 3 0 -3 ,45 A5 = 11
Let A be a diagonalizable n x n matrix and let P be an invertible n...
Let A be a diagonalizable n x n matrix and let P be an invertible n x n matrix such that B = p-1AP is the diagonal form of A. Prove that A* = Pokp-1, where k is a positive integer. Use the result above to find the indicated power of A. 10 18 A = -6 -11 18].46 A = 11
Let A be a diagonalizable n × n matrix and let P be an invertible n...
Let A be a diagonalizable n × n matrix and let P be an invertible n × n matrix such that B = P−1AP is the diagonal form of A. Prove that Ak = PBkP−1, where k is a positive integer. Use the result above to find the indicated power of A. A = −4 0 4 −3 −1 4 −6 0 6 , A5
(1 point) Let A= [44 18 (18 -45 -19 –18 -60 -24Find an invertible matrix P...
(1 point) Let A= [44 18 (18 -45 -19 –18 -60 -24Find an invertible matrix P and a diagonal matrix D such that D=P-1AP. –25] T ! 0
Problem 1. Let A be an m x m matrix. (a) Prove by induction that if A is invertible, then for every n N, An is invertible. (b) Prove that if there exists n N such that An is invertible, then A is inv...
Problem 1. Let A be an m x m matrix. (a) Prove by induction that if A is invertible, then for every n N, An is invertible. (b) Prove that if there exists n N such that An is invertible, then A is invertible. (c) Let Ai, . . . , An be m x m matrices. Prove that if the product Ai … An is an invertible matrix, then Ak is invertible for each 1 < k< n. (d)...
Suppose that A is diagonalizable and all eigenvalues of A are positive real numbers. Prove that...
Suppose that A is diagonalizable and all eigenvalues of A are
positive real numbers. Prove that det (A) > 0.
(1 point) Suppose that A is diagonalizable and all eigenvalues of A are positive real numbers. Prove that det(A) > 0. Proof: , where the diagonal entries of the diagonal matrix D are Because A is diagonalizable, there is an invertible matrix P such that eigenvalues 11, 12,...,n of A. Since = det(A), and 11 > 0,..., n > 0,...
37 40 -120 1 point) Let 5 -815Find an invertible matrix P and a diagonal matrix...
37 40 -120 1 point) Let 5 -815Find an invertible matrix P and a diagonal matrix D 10 10 -33 such that D P-1AP
(1 point) Suppose A = - (-11, ] Find an invertible matrix P and a diagonal...
(1 point) Suppose A = - (-11, ] Find an invertible matrix P and a diagonal matrix D so that A = PDP-1. Use your answer to find an expression for A6 in terms of P, a power of D, and P-1 in that order. A6 =
Let A = CD where C, D are n xn matrices, and is invertible. Prove that...
Let A = CD where C, D are n xn matrices, and is invertible. Prove that DC is similar to A. Hint: Use Theorem 6.13, and understand that you can choose P and P-inverse. Prove that if A is diagonalizable with n real eigenvalues 11, 12,..., An, then det(A) = 11. Ay n Prove that if A is an orthogonal matrix, then so are A and A'.
Currently workable: Let A be an n x n invertible matrix. Suppose AB n x p....
Currently workable: Let A be an n x n invertible matrix. Suppose AB n x p. Prove that B = C. AC, where B and Care Is this true in general? If not, state when it is not true and provide a counter- example. + Drag and drop your files or click to browse...
Let A be a diagonalizable n x n matrix and let P be an invertible n x n matrix such that B = P-1AP is the diagonal form of A. Prove that Ak = Pekp-1, where k is a positive integer. Use the result above to find the indicated power of A. 0-2 02-2 3 0 -3 ,45 A5 = 11
Let A be a diagonalizable n x n matrix and let P be an invertible n x n matrix such that B = p-1AP is the diagonal form of A. Prove that A* = Pokp-1, where k is a positive integer. Use the result above to find the indicated power of A. 10 18 A = -6 -11 18].46 A = 11
(1 point) Let A= [44 18 (18 -45 -19 –18 -60 -24Find an invertible matrix P and a diagonal matrix D such that D=P-1AP. –25] T ! 0
Problem 1. Let A be an m x m matrix. (a) Prove by induction that if A is invertible, then for every n N, An is invertible. (b) Prove that if there exists n N such that An is invertible, then A is invertible. (c) Let Ai, . . . , An be m x m matrices. Prove that if the product Ai … An is an invertible matrix, then Ak is invertible for each 1 < k< n. (d)...
Suppose that A is diagonalizable and all eigenvalues of A are
positive real numbers. Prove that det (A) > 0.
(1 point) Suppose that A is diagonalizable and all eigenvalues of A are positive real numbers. Prove that det(A) > 0. Proof: , where the diagonal entries of the diagonal matrix D are Because A is diagonalizable, there is an invertible matrix P such that eigenvalues 11, 12,...,n of A. Since = det(A), and 11 > 0,..., n > 0,...
37 40 -120 1 point) Let 5 -815Find an invertible matrix P and a diagonal matrix D 10 10 -33 such that D P-1AP
(1 point) Suppose A = - (-11, ] Find an invertible matrix P and a diagonal matrix D so that A = PDP-1. Use your answer to find an expression for A6 in terms of P, a power of D, and P-1 in that order. A6 =
Let A = CD where C, D are n xn matrices, and is invertible. Prove that DC is similar to A. Hint: Use Theorem 6.13, and understand that you can choose P and P-inverse. Prove that if A is diagonalizable with n real eigenvalues 11, 12,..., An, then det(A) = 11. Ay n Prove that if A is an orthogonal matrix, then so are A and A'.
Currently workable: Let A be an n x n invertible matrix. Suppose AB n x p. Prove that B = C. AC, where B and Care Is this true in general? If not, state when it is not true and provide a counter- example. + Drag and drop your files or click to browse...
Most questions answered within 3 hours.
-
A car moving at 87 km/h has tires of 76 cm diameter. If the
vehicle comes...
asked 2 minutes ago -
Most of the galaxies in the universe are observed to be moving
away from Earth. Suppose...
asked 5 minutes ago -
Paired research designs, also sometimes referred to as repeated
measures designs, are associated with some common...
asked 4 minutes ago -
You working as a clinical engineer dealing with
autoclaves, xrays and life care machines, in what...
asked 7 minutes ago -
Explain in detail (not just enumerate) each of Koch’s
postulates to determine the etiology of a...
asked 19 minutes ago -
Assume ABC Company has asked you to not only prepare their 2017
year-end Balance Sheet but...
asked 17 minutes ago -
You have just had a new set of tires put on your car, and now
the...
asked 22 minutes ago -
Please answer ASAP 2) Choose a point at random from the unit
square [0, 1] ×...
asked 36 minutes ago -
Draw the Lewis structures and determine which of these
molecules has a central atom that unavoidably...
asked 37 minutes ago -
Do we typically carry antibodies against the RH antigen in our
blood plasma?
asked 39 minutes ago -
What are the differences between an antibiotic, a semisynthetic,
and a synthetic as types of antimicrobials?
asked 35 minutes ago -
One mole of oxygen gas is at a pressure of 5.90 atm and a
temperature of...
asked 43 minutes ago