Question

Linear Algebra

6. (8pt) (a) Find a subset of the vectors v1 = (1, -1,5,2), V2 = (-2,3,1,0), V3 =(4,-5, 9,4), V4 = (0,4,2, -3) V5 = (-7, 18,

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Date 1 . 3 ५. 5 १५ - ५ 23 ५ -1 13 2 न 6 - 5 4 -> R2R Rozry Rar 2 Ry Rs) Rg til ७ ॥ ५ :1. -1 2 10 31 -५ .3 ५ . - 6 Ram Rgot heDate / 2,1 & ts 52 r2 3 1.o Ra Ratara al 5 2 Malcro 1 ५ 11 2 4 --3 ny Rg my Rig 4Rq a) han R 4 0 42 apq nathanganya the basinܪ M [6 19- 2)- ܟ 0 6 ܟ8 & AL 2 ។ - .ܠܓ 6 - 0 99/42 0 ܪ doa shoot thes a basis for the labail Aid u vo Vy, they dame Grow A JoDate / 1 O my 19/4 my 0 leza agip My OK, Kaa -19 ky 42 422 n11kg happy 4914 2-11K2_4kg Mia till kat 41, +5k - 2 kg Gk2 takaDate , ч -5 had та E Ч -។ 19 П. 1), न is L Мң Г у Rigs Rg ask R RR PRy Ruy Ry 2 R 12, Ч 3 ч. Ч 2. 16 о 1. о h Su о R₂ y RgAllDate / --- let an of - | then yo -0.70k - १.3.75 -- 0:Lok - 1.74Xk 0-१0 0.1975 estinat 441 442 X3074-0१०१९ 2. + urk 2.45 - न

Add a comment
Know the answer?
Add Answer to:
Linear Algebra 6. (8pt) (a) Find a subset of the vectors v1 = (1, -1,5,2), V2...
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
  • 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.

  • 3. (12 pts) Find a subset of vectors that forms a basis for the space spanned...

    3. (12 pts) Find a subset of vectors that forms a basis for the space spanned by v1 = (1, 2, 2, -1), v2 = (-3, -6, -6,3), v3 = (4,9, 9, -4), v4 = (-2,-1,-1,2), v5 = (5,8,9,-5) Then express the other vector(s) as a linear combination of the basis vectors.

  • 3. (12 pts) Find a subset of vectors that forms a basis for the space spanned...

    3. (12 pts) Find a subset of vectors that forms a basis for the space spanned by Vi = (1, -2,0,3), 02 = (2,-5, -3,6), V3 = (0,1,3,0), 04 = (-2, 1, -4,7), v5 = = (-5, 8,-1, -2). Then express the other vector(s) as a linear combination of the basis vectors.

  • Please show work Problem 2. Consider the vectors [1] 1 1 v1 = 1, V2 =...

    Please show work Problem 2. Consider the vectors [1] 1 1 v1 = 1, V2 = -1, V3 = -3 , 04 = , 05 = 6 Let S CR5 be defined by S = span(V1, V2, V3, V4, 05). A. Find a basis for S. What is the dimension of S? B. For each of the vectors V1, V2, V3, V4.05 which is not in the basis, express that vector as linear combination of the basis vectors. C. Consider...

  • 15 points) Consider the following vectors in R3 0 0 2 V1 = 1 ; V2...

    15 points) Consider the following vectors in R3 0 0 2 V1 = 1 ; V2 = 3 ; V3 = 1] ; V4 = -1;V5 = 4 1 2 3 = a) Are V1, V2, V3, V4, V5 linearly independent? Explain. b) Let H (V1, V2, V3, V4, V5) be a 3 x 5 matrix, find (i) a basis of N(H) (ii) a basis of R(H) (iii) a basis of C(H) (iv) the rank of H (v) the nullity...

  • please give the correct answer with explanations, thank you Let S {V1, V2, V3, V4, Vs}...

    please give the correct answer with explanations, thank you Let S {V1, V2, V3, V4, Vs} be a set of five vectors in R] Let W-span) When these vectors are placed as columns into a matrix A as A-(V2 V3 r. ws). and Asrow-reduced to echelon form U. we have U - -1 1 013 001 1 state the dimension of W Number 2. State a boss B for W using the standard algorithm, using vectors with a small as...

  • Let --0) --- () -- () = 0 V = 2 . V = 5 ,...

    Let --0) --- () -- () = 0 V = 2 . V = 5 , V3 = 8 . V = 11 (a) Find the reduced row echelon form R = (v1, V, V, val of A = (v1, V2, V3, V4]. (b) Write vs and va as linear combinations of vand va (c) Write V3 and Va as linear combinations of vi and V2. (d) Find a basis for the row space of A. (e) Find a basis...

  • 45 points) Consider the following vectors in R3 2 0 0 2 2 Vi = 1...

    45 points) Consider the following vectors in R3 2 0 0 2 2 Vi = 1 ;02 31; V3 = 11:04 = -1 ; Us = 4 2 2 3 (c) Find a basis of R3 among V1, V2, V3, V4, V5, and call it basis V. (d) Is vs Espan{V1, V2, 03, 04}? Explain. (e) Find the coordinates of us with respect to the basis V.

  • V1 = 1 , V2= -1 , U3 = , 04 = 1 , 05 =...

    V1 = 1 , V2= -1 , U3 = , 04 = 1 , 05 = 6 -3 0 | 2 Let S CR5 be defined by S = span(01, 02, 03, 04, 05). A. Find a basis for S. What is the dimension of S? B. For each of the vectors 01, 02, 03, 04, 05 which is not in the basis, express that vector as linear combination of the basis vectors. C. Consider the vectors W1 = 14,...

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