3 0 (3) (10 pts) Let S--2 32 . Determine whether 3 3 S is an...

Question

Question

math algebra

Answer 1

Answer #1

Osthogenl set Let U( its- 9-Y 3

Answer 2

Similar Homework Help Questions

Determine whether the matrix is orthogonal. P= 1 3 2 3 2 | ابداع | الا...

Determine whether the matrix is orthogonal. P= 1 3 2 3 2 | ابداع | الا تہ نما wwNWIN Find ppt 10 0 10 It 10 0 1 Is the matrix P is orthogonal? Pis orthogonal. O P is not orthogonal. 3 Let Pi P2 and p3 If the matrix Pis orthogonal, show that the column vectors of the matrix form an orthonormal Find Pip2 PiP2 Find Pip3 PIP3 Find p2.ps P2 P3 - Find pull pall Find ||p2|| lipall...
1. (50 pts.) Let A be the 3 x 3 matrix A= 0 0 3 0...

1. (50 pts.) Let A be the 3 x 3 matrix A= 0 0 3 0 2 0 3 0 0 :) i. Compute the eigenvectors ū1, U2, U3 of A. ii. Verify that the matrix S with columns ū ū2, öz has full rank. iii. Use the Gram-Schmidt process to change B into an orthogonal matrix P.
s=3 Let sor,+r,+r, = . Determine whether the set 2-X.SX-X?.6-(s+1)x+x' in P, is early independent or...

s=3 Let sor,+r,+r, = . Determine whether the set 2-X.SX-X?.6-(s+1)x+x' in P, is early independent or linearly dependent. If the set is linearly dependent then write one of the tors as a linear combination of the other two vectors in the set.

2. Let M22 be equipped with the standard inner product. Determine whether u is orthogonal to...

2. Let M22 be equipped with the standard inner product. Determine whether u is orthogonal to W span{w,w2,w,} = S 3 1 -2 3 1 -1 ,W2 3 2 ,wi -1 -1 ,w u= -2 -1 2 1 2 3 of the axioms in the definition of an inner product note: You must use some
5 3 1 0 Problem 10 Let wi = ,W2 W3 Let W = Span{W1,W2, W3}...

5 3 1 0 Problem 10 Let wi = ,W2 W3 Let W = Span{W1,W2, W3} C R6. 11 9 1 2 a) [6 pts] Use the Gram-Schmit algorithm to find an orthogonal basis for W. You should explicitly show each step of your calculation. 10 -7 11 b) [5 pts) Let v = Compute the projection prw(v) of v onto the subspace W using the 5 orthogonal basis in a). c) (4 pts] Use the computation in b) to...
1. (3 pts) Let 10 0 0 0 -1 A = Find the minimal polynomial for...

1. (3 pts) Let 10 0 0 0 -1 A = Find the minimal polynomial for A. 2. (3 pts) Suppose that the migration matrix for three locations is .5 0 3 3 8 0 .2 2 .7 Find a comparison for the population in the three locations after a long time.

3 -1 0 Problem 11 Let A= 16 -5 0 0 16 0 -2 15 -3...

3 -1 0 Problem 11 Let A= 16 -5 0 0 16 0 -2 15 -3 -15 2 8 0 a) [3 pts) Compute the characteristic polynomial of A and find its roots. b) [4 pts) For each eigenvalue of A find a basis for the corresponding eigenspace. c) [3 pts] Determine if A is defective. Justify your answer. d) [6 pts) If A is defective, determine the defective eigenvalue or eigenvalues, and find a Jordan chain (or set of...
3. optel Let 2 2 2 4 1 3 3 1 1 (a) Determine whether the...

3. optel Let 2 2 2 4 1 3 3 1 1 (a) Determine whether the product AB is defined. If yes, determine whether it is invertible. (b) Determine whether the product ABC is defined. If yes, determine whether it is invertible [epta Consider the system of ne linear equations in n unknowns given by As - b, where A € Mn,n is the n x n matrix of coefficients, as is the vector of unknowns and b E R"...
Please explain as detailed as possible, thank you! 1. Let S={0, 1, 2, 3, . ....

Please explain as detailed as possible, thank you! 1. Let S={0, 1, 2, 3, . . . , 150). and let A={x E S | x+100 E S} Write the roster notation of the set A. Also, find the cardinality of the set A. 2. For each natural number n, let An be the interval An (0,2/n) and let Bn be the interval Determine the following: (b) Un1Bn 3. Let the universal set be S = {1, 2, 3, 4,...

Problem 11 Let A= 3 -1 0 0 16 -5 0 0 16 0 -2 15...

Problem 11 Let A= 3 -1 0 0 16 -5 0 0 16 0 -2 15 -3 -15 2 8 a) [3 pts) Compute the characteristic polynomial of A and find its roots. b) (4 pts] For each eigenvalue of A find a basis for the corresponding eigenspace. c) [3 pts] Determine if A is defective. Justify your answer. d) [6 pts) If A is defective, determine the defective eigenvalue or eigenvalues, and find a Jordan chain (or set of...