In writing v as a linear combination of u ,,u, &u, ( if possible)given: y = (3,0, – 6) , u̟=(1, – 1,2), u,=(2,4, – 2) , u,= (1,2, – 4) & c ,.c2. cz as arbitrary constantsfind c3.

Answered: Image /qna-images/answer/d4da5805-fc27-465e-9438-7f8ee0cd5a91.jpg

Answered: In writing v as a linear combination of…

In writing v as a linear combination of u ,,u, &u, ( if possible) given: y = (3,0, – 6) , u,= (1, – 1,2), u,=(2,4, – 2) , uz=(1,2, – 4) & c,,c,, c, as arbitrary constants find c3.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.3: Spanning Sets And Linear Independence

Problem 21EQ

See similar textbooks

Related questions

Q: b. Determine the value(s) of b such that the set S = is linearly independent in M

Q: For which values of t is each set linearly independent?(a) S = {(t, 1, 1), (1, t, 1), (1, 1, t)} (b)…

Q: Example: Calculate the value of (@w/0x) at the point (x, y, z) = (2, -1,1) if:- w = x2 + y2 + z? z3…

Q: Determine all values of c so that the set {t +3, 2t +c2+2} is linearly independent.

A: Given: The set t + 3, 2t + c2 + 2 is linearly independent. To determine all values of…

Q: Which of the following subsets of R³ are linearly independent? {0} {{} } {O O } S1 S2 S3 6. 2 S4 = 1…

A: To determine which of the following subsets of R3 are linearly independent. S1=112S2=112, 212S3=112,…

Q: Show that if S={v,v2,V3} is linearly independent and v, is not in Span{S}, then {V,V2, V3, V43 IS…

Q: Let v =| 0 V2= S, and v3 for which values of S, V,, Vz, and v, are linearly independent. Select one:…

Q: Write v as a linear combination of u and w, if possible, where u = (1, 2) and w = (1, −1). v = (−1,…

Q: Determine whether u = is a linear combination of vị and V2

A: Here given that u=213 , v1=13 and v2=2-1 Now we determine that u=213 is a…

Q: b = Find whether {a, b} linearly independent or not. 5. Let a are

A: Given a = 20 , b = 07

Q: Which of the following sets are linearly independent in p3? S, = {(1.21). (1.-1,0). (1, 1,1)} S3 =…

Q: ) Let B = {vi =,₂ =, V3 =}. Determine whether B is linearly independent or linearly dependent.

A: Let us consider a set of vectors V=v1,v2,.......vn. The set of vectors are said to be linearly…

Q: Let v1, v2, V3 R° and suppose {v1, v2, V3 } is a linearly dependent set. Let A = [v1 v2 v3] E R5×3.…

Q: For which values of t is each set linearly independent? (a) S = {(t, 1, 1), (1, t, 1), (1, 1, t)}…

A: Recall: If the matrix determinant is zero it means matrix is singular and In system of equations…

Q: Determine whether the set S is linearly independent or linearly dependent. s- ( ((-} 3 3 S = 4, 3 O…

A: Solution:-

Q: Determine whether the following sets are linearly dependent or linearlyindependent. (a) {(; )( )} .…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Find fy, fy and f,, and evaluate each at the given point. X''y' z' fx, у, 2) %3D х*уз + 2хyz - 4yz,…

A: We have to find derivative

Q: Which of the following sets of vectors in R² is linearly dependent? A. {(1,0), (0, 1)} B. {(1,0),…

A: A set of vectors is said to be linearly independent if the matrix with these vectors as columns has…

Q: (a) {(1,0,0), (5,5, 0), (3, 3, 3)} (b) {(2,5,4), (–2, 1, 0)} (c) {(-3,2,1), (0, 0, 0) , (1, 2, –3)}…

Q: Please solve this linear algebra question for me.

A: We are given that v1, v2, v3, v4, v5 are linearly independent in F8.We need to show that v1, v2, v3,…

Q: Which of the following sets are Linearly independent? M={(1,1,0), (0,1,0), (1,0,1)} M={ (1,2),(3,…

A: If one vector can be expressed as a linear combination of other vectors , then the set of vectors…

Q: The set of all linearly independent solutions of D.E yY-y 0 is Select one: a. (1,t,e',e ) b.…

Q: By inspection, determine why each of the sets is linearly dependent.(a) S = {(1, −2), (2, 3), (−2,…

Q: Which of the following sets is linearly independent? O M={(1,0,1),(3,0,3), (0, 0, 0) } O M={…

Q: Write v as a linear combination of u and w, if possible, where u = (1, 2) and w = (1, −1). v = (1,…

A: Given u=1,2 and w=1,-1 , v=1,-4we write v is a linear combination of u and w if possible .

Q: Determine whether the set [p., pa, p3] is linearly Independent in Pa, where pi= 3+x+3x²+4x3 Pa = 4+…

Q: Which of the following sets is linearly independent? * O M={(1,3,4),(1,2,5),(-1,0,-2)} O M={(1,1…

Q: Which of the following sets is linearly independent? -ex-y-5=x+C OM= {(1,3),(3,9),(-1,-3)) M=…

Q: Write v as a linear combination of u and w, if possible, where u = (1, 2) and w = (1, −1). v = (0,…

A: Here u = (1, 2), w = (1, -1) and v = (0, 3) Since v is a linear combination of u and w So consider v…

Q: (d) Let A E M3x3(R) and , ij, Z ɛ R* and they are linearly independent. Suppose that we have A = ,…

Q: Find a and b such that v au + bw, where where u (1, 2) and w - v- (0, 6)

Q: Find the linearizations L(x, y, z) of the function at the given points. ƒ(x, y, z) = x2 + y2 + z2 at…

Q: For which values of C is the set C linearly dependent? 3. C = -1, 2 C=-1,-2 C=1,-2 C= - 1, 1 O c=1,…

Q: Suppose v1, ..., Vm is linearly independent in V and w e V. Prove that if vi + w, ..., Vm +w is…

Q: Which of the following sets is linearly independent in IR3 ? O (0,1,1), (0,-2,-2), (0,3,3))…

A: Please see the below picture for detailed solution.

Q: 0. Let v is v linearly independent or dependent? O Independent O Dependent

A: 1. We use the property of determinants to answer the given question. 2. We use the definition of…

Q: Which of the following sets is linearly independent in P, ? {1-x,0,-3x + 1} (-1+2x, 5x², -2 +4x} the…

Q: Suppose v,, v,,V3 are distinct points on one line in R" . The line need not pass through 29 the…

Q: Prove that if (V1,V2, V3} is linearly independent, then so too is the set (u,u2, u3} where u, vı-…

Q: Find the value of x so that the following are linearly dependent in R³. (1, –1,0), (-1, x, 0), (0,2,…

Q: which of the pollowing sets contain functions that are linearly independent ? C3x (3x -1 x+2, 4x) a.…

A: We have to find

Q: . Determine all values of c so that the set (t+3, 2t+c+2} is linearly independent.

A: If the set t+3, 2t+c2+2 is linearly independent, then the Wronskian's (W) must be non zero.…

Q: Which of the following sets is linearly independent?* O M-((1,0,1),(3,0,3), (0, 0, 0) } M=((1,1,3),…

A: Since it is a multiple question. As per our company guidelines we have to solve the first question.…

Q: In writing v as a linear combination of u ,u, &u, ( if possible) given: y = (3,0, – 6) , u , = (1, –…

A: The given vectors,v=3,0,-6, u1=1,-1,2, u2=2,4,-2, u3=1,2,-4

Q: Which of the following sets is linearly independent? M=( (1,2),(2,4), (-1,2)} M=((1,0,1),(3,0,3),…

A: M=1,2,2,4,-1,2 As 2,4=21,2+0-1,2 which means 2,4 can be written as linear combination of 1,2, -1,2…

Q: Which of the following set S is a linearly independent? a. S = ((0, 0), (1, 2)} b. S = {(1, 2), (2,…

A: We have to show that which set is linearly independent. A linearly independent set is the set which…

Q: Which of the following sets is linearly independent? O M={ (1, 2), (2.4)(1,2)} None of these O…

Q: Suppose v1, ..., Vỵ € R" forma linearly independent set. Show that for any 1 < l < k, the set {v1,…

A: Question is from linear algebra.

Question

In writing v as a linear combination of u ,,u, &u, ( if possible)
given: y = (3,0, – 6) , u̟=(1, – 1,2), u,=(2,4, – 2) , u,= (1,2, – 4) & c ,.c2. cz as arbitrary constants
find c3.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here