thank you will rate! 1 -10/211 → 13/7 -8/21 1 point) Let 0, 2/3 0/1 'and...
Please show the detail, thank you! (1 point) (a) Let -4 -7 -2 -4 V1 = and V2 = 1 6 0 2 and let W = span{V1, V2}. Apply the Gram-Schmidt procedure to vi and V2 to find an orthogonal basis {uj, u2 } for W. uj = U2 = -13 2 (b) Consider the vector v = - Find V' E W such that || V – v' || is as small as possible. 15 8 V =...
please answer correctly. i will not rate if it’s not correct and includes steps. Thank you. ex..2 3 4-6 -8 0 -1 31 Find a besis for the image of T and a basis for the kornel of T. (Thse bases sed not be orthonormal) 2. (10 points) Let V be the linear subspace of R consisting of all vectors that satisty z Here, z, denotes the ith componest of a vector E.) 3r2 and (a) What is the dimension...
(1 point) Let H = span {v\,v2, v3, V4}. For each of the following sets of vectors determine whether H is a line, plane, or R3. Select an Answer 1. -2 -8 -6 28 2 8 6 28 , V3 = ,V4 3 13 10 46 2. Select an Answer 0 2 4 V2 , V3 4 = -3 0 -6 -12 Select an Answer 3. -1 7 -12 0 3 -7 -11 -1 , V2 = , V4 ,...
3 0 6 (a) Let x1 = 2 X2= and write W = span{X1, X2} 21 Find X1 X2 and enter your answer in the box below. X1 X2 = Number We then apply Gram-Schmidt to find an orthonormal basis for W. V1 = X1 v2 = x2 - projv112 Find V2 and enter your answer in the box below. We then normalise the basis {V1, V2} to form an orthonormal basis {01, 12} (0) in Maple syntax, should be...
-247 -3 2. Let V1 = 1 , V , and V3 = , let B = (V1, V2, V3), and let W be the subspace spanned -2 by B. Note that B is an orthogonal set. 21 with respect to B, without inverting any matrices or a. [1 point] Find the coordinates of ū= 1: L 6 solving any systems of linear equations. 5 637 10 16. it point Find the sector in We st o b. [1 point]...
-9 2. Let Vi-8.V2,andvs-2, let B -(V,V2,Vs), and let W be the subspace spanned , let B -(Vi,V2,V3), and let W be the subspace spanned by B. Note that B is an orthogonal set. 17 a. 1 point] Find the coordinates of uwith respect to B, without inverting any matrices or L-2 solving any systems of linear equations. 35 16 25 b. 1 point Find the orthogonal projection of to W, without inverting any matrices or solving any systems of...
31 -2 211-1 32-21 ו,C-116-111-7 3213 o 7 13 3 AND ABEC As A LINEAR COMBIN ATN CoLUMAS oF A 31 -2 211-1 32-21 ו,C-116-111-7 3213 o 7 13 3 AND ABEC As A LINEAR COMBIN ATN CoLUMAS oF A
Will rate once all is completed. 1) 2) 3) 4) (12 points) Find a basis of the subspace of R that consists of all vectors perpendicular to both El- 1 1 0 and 7 Basis: , then you would enter [1,2,3],[1,1,1] into the answer To enter a basis into WeBWork, place the entries. each vector inside of brackets, and enter a list these vectors, separated by commas. For instance if vour basis is 31 2 and u (12 points) Let...
solve them clear with details please thank you Q1. Let A = be a 2 x 2 matrix. 45 (a) Find the characteristic polynomial of the matrix A. (5 pts) (b) Find all eigenvalues and associated eigenvectors of the matrix A. (10 pts) (c) If A is an eigenvalue of A, what do you think it would be the eigenvalue of the matrix 5A?Justify your answer) (5 pts) 0 Q2. Consider the matrix A = 6 2 -5 0 -6...
Problem 1 Let A= 3 2 13 1 5 7 11 8 -3 9 10 -6 -4 12 8 a) [4 pts) Find a basis for N(A) in rational format. b) (3 pts) Find a particular solution to the matrix equation A*x= 5 -2 14 c) [3 pts] Use your answers in a), b) and the Superposition Principle to express the general solution in vector form to the matrix equation in b).