Question

Show that w is in the subspace of R4 spanned by vy. Vz, and v3, where these vectors are defined as follows 2 -4 w= 5 V21 - 2
0 0
Add a comment Improve this question Transcribed image text
Answer #1

Let w= devity Vz+zV3 where y, I, 2 de scabell Then +7 42 o 40-47-72 to w -3x+57 +52 28-27-42 94-97-172 =) 48-47-72 = 7 --> 0by solving 40, we get X=19, J = 5 z=7 clearly these values satisfies ev. W=19 Vi +5V2+7V

Add a comment
Know the answer?
Add Answer to:
Show that w is in the subspace of R4 spanned by vy. Vz, and v3, where...
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
  • Determine if y is in the subspace of R4 spanned by the columns of A. -7...

    Determine if y is in the subspace of R4 spanned by the columns of A. -7 w 9 6-7 T-9-9 3 | 10 -2 -8 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The vector y is in the subspace spanned by the columns of A because y can be written as a linear combination of these columns as follows. (Type integers or simplified fractions.) OB. The vector y...

  • Determine if y is in the subspace of R4 spanned by the columns of A. -5...

    Determine if y is in the subspace of R4 spanned by the columns of A. -5 17 -8 -3 9 5-7 - 8 = ... A 5 -3-8 2 1 -1 - 7 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. 8 O A. The vectory is in the subspace spanned by the columns of A because y can be written as a linear combination of these columns as follows. 17...

  • 1) Determine if w is in the subspace spanned by v1, v2, v3 2) Are the...

    1) Determine if w is in the subspace spanned by v1, v2, v3 2) Are the vectors v1, v2, v3 linearly dependent or independent? justify your answer Question 2. (15 pts) Let vi=(-3 0 6)", v2= (-2 2 3]", V3= (0 - 6 37, and w= [1 11 9". (1). Determine if w is in the subspace spanned by V1, V2, V3. (2). Are the vectors V1, V2, V3 linearly dependent or independent? Justify your answer

  • Homework: Section 4.1 Score: 0 of 1 pt 4.1.13 3 4 11 Let v1 0 ,...

    Homework: Section 4.1 Score: 0 of 1 pt 4.1.13 3 4 11 Let v1 0 , V2|1 V3 3 and w= 1 1 4 10 Is w in {v,, v2, v3}? How many vectors are in {v,, v, V3}? b. How many vectors are in Span{v, V2, V3}? c. Is w in the subspace spanned by (v,, v2, V3)? Why? a a. Is w in {v, V2 V31? O A. Vector w is in {v,, v2, V3} because it is...

  • Problem #18: [2 marks] Let W be the subspace of R4 spanned by the vectors u...

    Problem #18: [2 marks] Let W be the subspace of R4 spanned by the vectors u - (1,0,1,0), u2 = (0.-1, 1.0), and ug = (0.0, 1,-1). Use the Gram-Schmidt process to transform the basis (uj, u, uz) into an orthonormal basi (A) v1 = (-12,0, 2.0), v2 - (VG VG VG, o), v3 - (I ) (B) v1 = (-V2.0, .), v2 - (VG VG VG o), v3 - (™J - V3 VI-V3) (C) v1 - ($2.0, 92.0), v2...

  • Problem #8: Find a basis for the orthogonal complement of the subspace of R4 spanned by...

    Problem #8: Find a basis for the orthogonal complement of the subspace of R4 spanned by the following vectors. v1 = (1,-1,4,7), v2 = (2,-1,3,6), v3 = (-1,2,-9, -15) The required basis can be written in the form {(x, y, 1,0), (2,w,0,1)}. Enter the values of x, y, z, and w (in that order) into the answer box below, separated with commas.

  • -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...

  • a) Find a subset of the given vectors that forms a basis for the space spanned by these vectors.

    a) Find a subset of the given vectors that forms a basis for the space spanned by these vectors. b) Express each vector not in the basis as a linear combination of the basis vectors.c) Use the vectors V1, V2, V3, V4, Vs to construct a basis for R4.

  • ote: The norm of is denoted by |vand is calculated N a vector u Consider a subspace W of R4, W span(1, v2, v3, v4)). Where 0 из- 1. Find an orthonormal basis Qw of W and find the dimension of W 2. Fi...

    ote: The norm of is denoted by |vand is calculated N a vector u Consider a subspace W of R4, W span(1, v2, v3, v4)). Where 0 из- 1. Find an orthonormal basis Qw of W and find the dimension of W 2. Find an orthonormal basis QWL of WL and find the dimension of WL 3. GIven a vector u- . find the Qw coordinate of Projw(v) . find the Qwa coordinate of Projwi (v) » find the coordinate...

  • Let W be the subspace of R4 spanned by the orthogonal vectors 1 0 0 ui...

    Let W be the subspace of R4 spanned by the orthogonal vectors 1 0 0 ui , ua : 0 1 Find the orthogonal decomposition of v = ܝܬ ܥ 5 -4 6 with respect to W. -5 p= projw (v) = q= perpw («) =

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
ADVERTISEMENT