Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S = {(2, –1, 3), (5, 0, 4)} (a) z = (1, -3, 5) S2 Z = 75 (b) 23, 4' 4 V = S2 V = (c) w = (6, -8, 16) %3D S2 W = (d) u = (9, 1, –1) S2 u = +

Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S = {(2, –1, 3), (5, 0, 4)} (a) z = (1, -3, 5) S2 Z = 75 (b) 23, 4' 4 V = S2 V = (c) w = (6, -8, 16) %3D S2 W = (d) u = (9, 1, –1) S2 u = +

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.1: Vector In R^n

Problem 28E

See similar textbooks

Related questions

Q: Find 2u, -3v, u + v, and 3u 4v for the given vectors u and v. 3(0, -3), v (-5, 0) %3D 2u = -3v = u…

A: Given,u = 0, -3v = -5, 0

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

Q: w = (-2,0) , v1 = (-1,2), v2 = (4, –8) , vz = (-1,1). If possible, express w as a linear combination…

A: Let us assume -20=a-12+b4-8+c-11. So, -20=a-12+b4-8+c-11⇒-20=-a+4b-c2a-8b+c⇒a=4b-2,…

Q: Choose the linearly dependent vectors in R Select one: a. LIGI 2 -2 b. O d.

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: As per bartleby guidelines we only give first three questions answers.

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE. s…

A: we have to find

Q: Find the components of the vector PP2. P1(4, 5, 5), P2( 7, 10, 7) PP2 =( i

Q: -1 Let a = -1 and b = 1 be two vectors. What is a2b2-la b2?

Q: Consider the vectors A= (4, -2, 2), B =-(-2,3,0), and C= (0, 2, 1). 1. Find the following. (a) B- A…

Q: 9. V =|-1 Write the vector as the linear combination of the basis vectors 3 4 and u, =|- 3 u, = 2…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

Q: snip1

A: (a) Let the vector 123 be a linear combination of the vectors 103 and -11-3. Then we can find…

Q: . Which of the following is an orthogonal pair of vectors? A. (1, 0, 1) and (1,1,0) B. (1, 1, 0) and…

A: The vectors a and b are said to be orthogonal vectors if their dot product is 0.

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE. S…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Since you have posted multipart questions I can do first three subparts as per our company…

Q: Find the component form of the resultant vector. 4) u=(-4,-7) 5) u = (3, 3) Find: -8u %3D Find: 5u…

A: If we have a vector v = v1 , v2 and a scalar α thenα v = αv1 , v2 = αv1 , αv2

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOS S =…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: Which of the following pairs of vectors are orthogonal? Our(1, 1, -1), v 2, 2, 2 ) Ou(1,0, -1), v(…

A: Two vecors are orthogonal if their dot product comea out to be zero.

Q: Write each vector as a linear combination of the vectors in S. S = {(2, -1, 3), (5, 0, 4)} (a) z =…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Given: S=(2,-1,3),(5,0,4) and u =(2, 1, -1). Consider s1=2,-1,3, s2=5,0,4.

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Given,S = { (2, -1, 3), (5, 0, 4) }To find: the vector as a linear combination of the vectors in S.…

Q: Which two vectors are orthogonal if given a =,b = and c =

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: we will write the given vector as linear combination of vectors in as and find the unknown…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Consider c1, c2 are constants such that z=c1s1+c2s2. Substitute the values of z, s1, s2 in the…

Q: 10 Write the vector W =-10 8. as a linear combination of the basis vectors -8] 2 and u, 6. -4 u, = 2…

Q: Determine whether the given vectors are orthogonal, parallel, or neither. a. å = (-5,3,7), b =…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Linear Combination

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

Q: Vrite each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

Q: 1. Find the components of the vector. (a) (b) (1, 5) (0, 0, 4). (4, 1) (2, 3, 0)

A: The components of a vector

Q: Mount Holyoke College, Massachusetts, USA - Can the vector (3, 1, 1) be expressed as a linear…

Q: Irite each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

Q: a) A vector equation of a line that goes through the points P(1, -3, 2) and Q(9, 2, 0)

A: According to Bartleby guidelines we can answer only one question at a time. To find vector equation…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Given S=2, -1, 3, 5, 0, 4 Solution:- Any vector as a linear combination of vectors S1=2, -1, 3…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

Question

Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)
S = {(2, –1, 3), (5, 0, 4)}
(a)
z = (1, -3, 5)
S2
Z =
75
(b)
23,
4' 4
V =
S2
V =
(c)
w = (6, -8, 16)
%3D
S2
W =
(d)
u = (9, 1, –1)
S2
u =
+

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Recall:

VIEW

Solution:

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Take this test to review the material in Chapters 4and Chapters 5. After you are finished, check your work against the answers in the back of the book. Write w=(7,2,4) as a linear combination of the vectors v1, v2 and v3 if possible. v1=(2,1,0), v2=(1,1,0), v3=(0,0,6)
2. If , and the vector is drawn with its tail at the point, find the coordinates of the point at the head of .
Find a basis for R2 that includes the vector (2,2).
Take this test to review the material in Chapters 4 and 5. After you are finished, check your work against the answers in the back of the book. a Explain what it means to say that a set of vectors is linearly independent. b Determine whether the set S is linearly dependent or independent. S={(1,0,1,0),(0,3,0,1),(1,1,2,2),(3,4,1,2)}