6 Let a2a28and bwhat value(s) of h is b in the plane spanned by a, and...

Question

Question

6 Let a2a28and bwhat value(s) of h is b in the plane spanned by a, and a2? 8 , and b- or what value(s) ofh is b in the plane spanne

Answer 1

Answer #1

Answer:

Here we will use the fact that columns of matrix are dependent when rank of matrix is less than order of square matrix.

I 6 5 -1 3 1 -6 51 4 -16 Re-Re-241 0-3 5 4 2 千千 o h-7

Answer 2

Similar Homework Help Questions

Q1. Let a1 6 Let a3a2a 11 and b1For what value(s) of h is b in...

Q1. Let a1 6 Let a3a2a 11 and b1For what value(s) of h is b in the plane spanned by a1 and a2? The value(s) of h is(are)(Use a comma to separate answers as needed)
4 Let u-4 , v--3, w1For what value of h is w in the plane spanned...

4 Let u-4 , v--3, w1For what value of h is w in the plane spanned by u and v?
-7 Let 21 3 - 14 and b= -9 For what value(s) of h is b...

-7 Let 21 3 - 14 and b= -9 For what value(s) of h is b in the plane spanned by a, and az? - 1 3 h The value(s) of h is(are) - (Use a comma to separate answers as needed.)

6. (20 points) Let W be a plane spanned by the vectors ői = [1, 2,...

6. (20 points) Let W be a plane spanned by the vectors ői = [1, 2, 2)", T2 = (-1,1,2) (a). Find an orthonormal basis for W. (b). Extend it to an orthonormal basis of R3.
Page 8 of 9 HW-04 Problem No. 4.7 /10 pts 6 2 k For what value(s) of k is y in the plane spanned by vi and v? Show...

Page 8 of 9 HW-04 Problem No. 4.7 /10 pts 6 2 k For what value(s) of k is y in the plane spanned by vi and v? Show all your work, do not skip steps Displaying only the answer is not enough to get credit Solution (Show all intermediate steps, formulas, calculations, explanations and comments below this line. Don't write above this line) 2 k -3 - 1 4 1 K Page 8 of 9 HW-04 Problem No. 4.7...
solve the linear algebra question 1. (6 points) Let S be a subspace of R3 spanned...

solve the linear algebra question 1. (6 points) Let S be a subspace of R3 spanned by the columns of the matrix [1 2 0 1 1] 2 4 1 1 0 3 6 1 2 1 Find a basis of S. What is the dimension of S?

Instructions: 2 3 -4 3 Find V Let V be the plane spanned by the vectors...

Instructions: 2 3 -4 3 Find V Let V be the plane spanned by the vectors UT 2 0 1
Exercise 1: Consider a physical system whose state space, which is three-dimensional is spanned b...

Exercise 1: Consider a physical system whose state space, which is three-dimensional is spanned by the orthonormal basis formed by three kets |ф11ф2) and IP2). I- In this basis, the Hamiltonian operator H of the system and the observable A are written as: H- ho 0 2 0 A h0 01 where o is real constant And the state ofthe system att-os: ΙΨ(0))siip)+1P2》怡1%) 1- Calculate the commutator [H. A] 2- Determine the energies of the system. 3- Determine the eigen-values...
-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...

-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...

Let E be the plane in R3 spanned by the orthogonal vectors v1=(121)and v2=(−11−1) The reflection...

Let E be the plane in R3 spanned by the orthogonal vectors v1=(121)and v2=(−11−1) The reflection across E is the linear transformation R:R3→R3 defined by the formula R(x) = 2 projE(x)−x (a) Compute R(x) for x=(1260) (b) Find the eigenspace of R corresponding to the eigenvalue 1. That is, find the set of all vectors x for which R(x) =x. Justify your answer.