Question

2) Let B = {(1, 3, 4), (2,-5,2), (-4,2-6)) and B/-(( 1, 2,-2), (4, 1,-4), (-2, 5, 8)) be 5 ordered bases of R2. Let x = | 8 | in the standard basis of R2. a) Use a matrix and x to find L18 ]B. b) U...

2) Let B = {(1, 3, 4), (2,-5,2), (-4,2-6)) and B/-(( 1, 2,-2), (4, 1,-4), (-2, 5, 8)) be 5 ordered bases of R2. Let x = | 8 |
2) Let B = {(1, 3, 4), (2,-5,2), (-4,2-6)) and B/-(( 1, 2,-2), (4, 1,-4), (-2, 5, 8)) be 5 ordered bases of R2. Let x = | 8 | in the standard basis of R2. a) Use a matrix and x to find L18 ]B. b) Use a matrix and [X]B to find [x)B/. c) Use a matrix and [X]B/ to find x in the standard basis of R2, d) Draw a diagram of the steps a), b), and c) in the shape of a triangle with x, [ ]B, and [lg/ at its vertices connected by arrows labeled with matrices.
0 0
Add a comment Improve this question
Answer #1

Sign Up to Unlock the answer FREE

Already have an account? Log in

Sdution too。mbad basisofg2.oma X-T | inthe standad bas isơfe3 5 侶 basis is given2 1 34 4 2-6 3 4 91 14 2 : uwan er, mata. uitNOu calculate Stomdard 15:27 2019- 28

Add a comment
Know the answer?
Add Answer to:
2) Let B = {(1, 3, 4), (2,-5,2), (-4,2-6)) and B/-(( 1, 2,-2), (4, 1,-4), (-2, 5, 8)) be 5 ordered bases of R2. Let x = | 8 | in the standard basis of R2. a) Use a matrix and x to find L18 ]B. b) U...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 2 question ---------------------------------------------------------- (1 point) Consider the ordered bases B =( (8-4] [: • and c-...

    2 question ---------------------------------------------------------- (1 point) Consider the ordered bases B =( (8-4] [: • and c- (- -)( :} ) for the vector space V of lower triangular 2 x 2 matrices with zero trace. a. Find the transition matrix from C to B. TB = b. Find the coordinates of Min the ordered basis B if the coordinate vector of Min C is [Mc= [MB = C. Find M. M= (1 point) Consider the ordered bases B [ 1...

  • Find the matrix A' for T relative to the basis B'. T: R2 + R2, T(x,...

    Find the matrix A' for T relative to the basis B'. T: R2 + R2, T(x, y) = (3x - y, 4x), B' = {(-2, 1), (-1, 1)} A' = Let B = {(1, 3), (-2,-2)} and B' = {(-12, 0), (-4,4)} be bases for R2, and let 0 2 A = 3 4 be the matrix for T: R2 + R2 relative to B. (a) Find the transition matrix P from B' to B. 6 4 P= 9 4...

  • {(1,3), (2,-2)} and B = {(-12,0), (-4, 4)} be the basis for R2 and let A...

    {(1,3), (2,-2)} and B = {(-12,0), (-4, 4)} be the basis for R2 and let A = 7. Let B 3 2 0 4 be the matrix for T R2 -> R2 relative to B (a) Find the transition matrix P from B' to B (b) Use the matrices A and P to find [v]B and [T(v)]B where v] 2 (c) Find P and A' (the transition matrix for T relative to B') (d) Find [T(v)B' in two ways: first...

  • (1 point) Consider the ordered bases B = a. Find the transition matrix from C to...

    (1 point) Consider the ordered bases B = a. Find the transition matrix from C to B. 3 01 To Olmedi 011-3 0. *1 for the vector space V of lower triangular 2 x 2 matrices with zero trace. 3 4 01) and C=-5 -1/'1-23] b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is M c [ MB = C. Find M. M =

  • (1 point) Consider the ordered bases B = (1 – X,4 – 3x) and C =...

    (1 point) Consider the ordered bases B = (1 – X,4 – 3x) and C = (-(3 + 2x), 4x – 2) for the vector space P2[x]. a. Find the transition matrix from C to the standard ordered basis E = (1, x). -3 2 TE = -2 b. Find the transition matrix from B to E. 1 -1 T = 4 -3 c. Find the transition matrix from E to B. -3 1 T = 4/7 -1/7 d. Find...

  • let T : R2[x] → R2[x] have matrix shown in the picture with respect to basis B = {1 + x, x + 2x2, 2 + x − x2}. 8. Comput...

    let T : R2[x] → R2[x] have matrix shown in the picture with respect to basis B = {1 + x, x + 2x2, 2 + x − x2}. 8. Compute the image of 2 − 3x + 4x2. 1 -2 1 In exercises 8-1 1 let T : R2[2] → Rİx] have matrix |ー2 1 | with respect 3 1 -3 4 to the basis B = {1 + x, x + 22.2, 2 + x-rj 8. Compute the...

  • Exercise 1. Let S(2) = (€1,6) be the standard basis of T R2 and let B...

    Exercise 1. Let S(2) = (€1,6) be the standard basis of T R2 and let B = (? =-3e1 + 2e, v2 = 2e1-6). Show that B is a basis of T. Now suppose that a linear mapping f : T T is represented with respect to 8(2) by the matrix oSe 4 6' Find the matrix B that represents f with respect to B.

  • Let 9 - {(1,3), (-2,-2)) and 8 = {(-12, 0),(-4,4) be bases for R, and let...

    Let 9 - {(1,3), (-2,-2)) and 8 = {(-12, 0),(-4,4) be bases for R, and let --12:] be the matrix for T. R2 + R2 relative to B. (2) Find the transition matrix P from 8' to B. P. X (b) Use the matrices P and A to find [v]g and [T()le, where Ivo - [1 -4 [va - [T]8 - I (c) Find p-1 and A' (the matrix for T relative to B). p-1- II A- (d) Find (TV)]g...

  • Problem 4 Let T:R2 R2 be defined by and a be the standard basis for R2....

    Problem 4 Let T:R2 R2 be defined by and a be the standard basis for R2. a) Find the matrix of T with respect to a, (T): b) Let 3 be the basis { 1 -1}. Find (T18 c) Find (7)

  • (1 point) Consider the ordered bases B = {-(7 + 3x), –(2+ x)} and C =...

    (1 point) Consider the ordered bases B = {-(7 + 3x), –(2+ x)} and C = {2,3 + x} for the vector space P2. a. Find the transition matrix from C to the standard ordered basis E = {1,x}. TE = b. Find the transition matrix from B to E. Te = c. Find the transition matrix from E to B. 100 TB = d. Find the transition matrix from C to B. TB = 11. !!! e. Find the...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
Active Questions
ADVERTISEMENT