Question

If we want to express u=(22,57,-6) as a linear combination of vectors a = (4,9,3) and...

If we want to express u=(22,57,-6) as a linear combination of vectors a = (4,9,3) and b=(-2,-7,6), what are the values of k and j?

Homework Answers

Know the answer?
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
Similar Questions
Write each vector as a linear combination of the vectors in S. (Use s1 and s2,...
Write each vector as a linear combination of the vectors in S. (Use s1 and s2, respectively, for the vectors in the set. If not possible, enter IMPOSSIBLE.) S = {(1, 2, −2), (2, −1, 1)} (a)    z = (−5, −5, 5) z = ? (b)    v = (−2, −6, 6) v = ? (c)    w = (−1, −17, 17) w = ? Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the set whose sum...
Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in...
Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the set whose sum is the zero vector. (Use s1, s2, and s3, respectively, for the vectors in the set.) S = {(5, 2), (−1, 1), (2, 0)} a) (0, 0) = b) Express the vector s1 in the set as a linear combination of the vectors s2 and s3. s1 =
Using MATLAB solve: The vectors v1=(1,-1,1), v2=(0,1,2), v3=(3,0,1) span R3. Express w=(x,y,z) as linear combination of...
Using MATLAB solve: The vectors v1=(1,-1,1), v2=(0,1,2), v3=(3,0,1) span R3. Express w=(x,y,z) as linear combination of v1,v2,v3.
Give an example of a matrix equation representing a linear combination of three vectors in R1,...
Give an example of a matrix equation representing a linear combination of three vectors in R1, and two vectors in R3.
1. Let ⃗u = −2[4,0,1]+[−1,3,−2] and ⃗v = 3[4,0,1]+5[−1,3,−2]. Let w⃗ = 3⃗u−⃗v. Express w⃗ as...
1. Let ⃗u = −2[4,0,1]+[−1,3,−2] and ⃗v = 3[4,0,1]+5[−1,3,−2]. Let w⃗ = 3⃗u−⃗v. Express w⃗ as a linear combination of the vectors [4, 0, 1] and [−1, 3, −2]. 2. Let ⃗u and ⃗v be two vectors in Rn. Suppose that ||⃗u|| = 3, ||⃗u − ⃗v|| = 5, and that⃗u.⃗v = 1. What is ||⃗v||?. 3. Let ⃗u and ⃗v be two vectors in Rn. Suppose that ||⃗u|| = 5 and that ||⃗v|| = 2. Show that ||⃗u −...
Determine if the vector v is a linear combination of the vectors u1, u2, u3. If...
Determine if the vector v is a linear combination of the vectors u1, u2, u3. If yes, indicate at least one possible value for the weights. If not, explain why. v = 2 4 2 , u1 = 1 1 0 , u2 = 0 1 -1 , u3 = 1 2 -1
Determine if the first vector is a linear combination of the other two vectors. Show algebraically...
Determine if the first vector is a linear combination of the other two vectors. Show algebraically how you found your answer. 2x^2 + 2x + 1, -x^2 + 2x + 1, -2x^2 + 2x + 1 in P2 (P subscript 2) (R).
Let T be a linear transformation that is one-to-one, and u, v be two vectors that...
Let T be a linear transformation that is one-to-one, and u, v be two vectors that are linearly independent. Is it true that the image vectors T(u), T(v) are linearly independent? Explain why or why not.
Exercise 6. Consider the following vectors in R3 . v1 = (1, −1, 0) v2 =...
Exercise 6. Consider the following vectors in R3 . v1 = (1, −1, 0) v2 = (3, 2, −1) v3 = (3, 5, −2 )   (a) Verify that the general vector u = (x, y, z) can be written as a linear combination of v1, v2, and v3. (Hint : The coefficients will be expressed as functions of the entries x, y and z of u.) Note : This shows that Span{v1, v2, v3} = R3 . (b) Can R3 be...
1. Compute the angle between the vectors u = [2, -1, 1] and and v =...
1. Compute the angle between the vectors u = [2, -1, 1] and and v = [1, -2 , -1] 2. Given that : 1. u=[1, -3] and v=[6, 2], are u and v orthogonal? 3. if u=[1, -3] and v=[k2, k] are orthogonal vectors. What is the value(s) of k? 4. Find the distance between u=[root 3, 2, -2] and v=[0, 3, -3] 5. Normalize the vector u=[root 2, -1, -3]. 6. Given that: v1 = [1, - C/7]...