Homework Answers
(1 point) 0 Given v 3 find the linear combination for v in the subspace W spanned by 0 0 3 3 and 114 , u2 = , из- 4 4 Note that ul , u2 , u3 and 14 are orthogonal. u1+ 7 U2 ll4 (1 point) 0 Given...
(1 point) 0 Given v 3 find the linear combination for v in the subspace W spanned by 0 0 3 3 and 114 , u2 = , из- 4 4 Note that ul , u2 , u3 and 14 are orthogonal. u1+ 7 U2 ll4
(1 point) 0 Given v 3 find the linear combination for v in the subspace W spanned by 0 0 3 3 and 114 , u2 = , из- 4 4 Note that ul...
(1 point) Let u4 be a linear combination of {u1, U2, u3}. Select the best statement....
(1 point) Let u4 be a linear combination of {u1, U2, u3}. Select the best statement. OA. {u1, U2, U3, U4} could be a linearly dependent or linearly dependent set of vectors depending on the vector space chosen. OB. {ui, U2, U3, U4} is always a linearly dependent set of vectors. OC. {ui, U2, U3, U4} could be a linearly dependent or linearly dependent set of vectors depending on the vectors chosen. OD. {u1, U2, U3, U4} is a linearly...
(1 point) Let S-(r, u, d, x) be a set of vectors. If x = 4r...
(1 point) Let S-(r, u, d, x) be a set of vectors. If x = 4r + u + d, determine whether or not s is linearly independent. Select an Answer '1. Determine whether or not the four vectors listed above are linearly independent or linearly dependent. If S is dependent, enter a non-trivial linear relation below. Otherwise, enter O's for the coefficients. d+
(1 point) Assume ug is not a linear combination of {u1, 42, u3}. Select the best...
(1 point) Assume ug is not a linear combination of {u1, 42, u3}. Select the best statement. A. {u1, U2, U3, U4} is never a linearly independent set of vectors. B. {U1, U2, U3, U4} is always a linearly independent set of vectors. C. {ui, U2, U3, U4} could be a linearly independent or linearly dependent set of vectors depending on the vectors chosen. OD. {u1, 42, uz, u4} could be a linearly independent or linearly dependent set of vectors...
1. Determine whether or not the four vectors listed above are linearly independent or linearly dependent....
1. Determine whether or not the four vectors listed above are
linearly independent or linearly dependent.
If they are linearly dependent, determine a non-trivial linear
relation - (a non-trivial relation is three numbers which are not
all three zero.) Otherwise, if the vectors are linearly
independent, enter 0's for the coefficients, since that
relationship always holds.
(1 point) 13--3-3 Let vi = and V4 1-11 Linearly Dependent 1. Determine whether or not the four vectors listed above are linearly independent...
1 -1.2 5 Uį = U2 = -3 1, U3 = 2 , 14 = 29...
1 -1.2 5 Uį = U2 = -3 1, U3 = 2 , 14 = 29 ( 7 Answer the following questions and give proper explanations. (a) Is {ui, U2, uz} a basis for R3? (b) Is {ui, U2, u4} a basis for R4? (c) Is {ui, U2, U3, U4, u; } a basis for R? (d) Is {ui, U2, U3, u} a basis for Rº?! (e) Are ui, u, and O linearly independent?! Problem 6. (15 points). Let A...
(1 point) Suppose S = {r, u, d} is a set of linearly independent vectors. If...
(1 point) Suppose S = {r, u, d} is a set of linearly independent vectors. If x = 4r + 2u + 5d, determine whether T = {r, u, 2} is a linearly independent set. Select an Answer 1. Is T linearly independent or dependent? IfT is dependent, enter a non-trivial linear relation below. Otherwise, enter O's for the coefficients. u+ !!! I=0
(1 point) Let u4 be a linear combination of {u1, U2, U3}. Select the best statement....
(1 point) Let u4 be a linear combination of {u1, U2, U3}. Select the best statement. O A. We only know that span{u1, U2, U3, u4} span{u1, u2, u3} . B. There is no obvious relationship between span{u1, U2, uz} and span{u1, U2, U3, u4} . C. span{u1, U2, U3} = span{u1, U2, U3, u4} when none of {u1, U2, uz} is a linear combination of the others. D. We only know that span{u1, U2, U3} C span{u1, U2, U3,...
Section 5.5 Orthonormal Sets: Problem 3 Previous Problem Problem List Next Problem (1 point) -5 Use...
Section 5.5 Orthonormal Sets: Problem 3 Previous Problem Problem List Next Problem (1 point) -5 Use Theorem 5.5.2 to write the vector v = -6 10 as linear combination of -1/V19 -3/V10 3/7190 U1 = -3/719 , U2 = 0/V10 and uz = -10/190 -3/V19 1/V10 9/7190 Note that ui, u2 and uz are orthonormal. V = uj+ u2+ U3 Use Parseval's formula to compute ||v||2. ||01|2
0 (1 point) Let uz = 4. → U12 = ,113 = 4 Which of the...
0 (1 point) Let uz = 4. → U12 = ,113 = 4 Which of the following are in the span of u1, 12, uz? 6 A. 8 4 :-2 B. 8 1 C. Write the following vector as a linear combination of u1, U2, U3. If it is not possible, leave each entry empty. + () + [:1-03 3
(1 point) 0 Given v 3 find the linear combination for v in the subspace W spanned by 0 0 3 3 and 114 , u2 = , из- 4 4 Note that ul , u2 , u3 and 14 are orthogonal. u1+ 7 U2 ll4
(1 point) 0 Given v 3 find the linear combination for v in the subspace W spanned by 0 0 3 3 and 114 , u2 = , из- 4 4 Note that ul...
(1 point) Let u4 be a linear combination of {u1, U2, u3}. Select the best statement. OA. {u1, U2, U3, U4} could be a linearly dependent or linearly dependent set of vectors depending on the vector space chosen. OB. {ui, U2, U3, U4} is always a linearly dependent set of vectors. OC. {ui, U2, U3, U4} could be a linearly dependent or linearly dependent set of vectors depending on the vectors chosen. OD. {u1, U2, U3, U4} is a linearly...
(1 point) Let S-(r, u, d, x) be a set of vectors. If x = 4r + u + d, determine whether or not s is linearly independent. Select an Answer '1. Determine whether or not the four vectors listed above are linearly independent or linearly dependent. If S is dependent, enter a non-trivial linear relation below. Otherwise, enter O's for the coefficients. d+
(1 point) Assume ug is not a linear combination of {u1, 42, u3}. Select the best statement. A. {u1, U2, U3, U4} is never a linearly independent set of vectors. B. {U1, U2, U3, U4} is always a linearly independent set of vectors. C. {ui, U2, U3, U4} could be a linearly independent or linearly dependent set of vectors depending on the vectors chosen. OD. {u1, 42, uz, u4} could be a linearly independent or linearly dependent set of vectors...
1. Determine whether or not the four vectors listed above are
linearly independent or linearly dependent.
If they are linearly dependent, determine a non-trivial linear
relation - (a non-trivial relation is three numbers which are not
all three zero.) Otherwise, if the vectors are linearly
independent, enter 0's for the coefficients, since that
relationship always holds.
(1 point) 13--3-3 Let vi = and V4 1-11 Linearly Dependent 1. Determine whether or not the four vectors listed above are linearly independent...
1 -1.2 5 Uį = U2 = -3 1, U3 = 2 , 14 = 29 ( 7 Answer the following questions and give proper explanations. (a) Is {ui, U2, uz} a basis for R3? (b) Is {ui, U2, u4} a basis for R4? (c) Is {ui, U2, U3, U4, u; } a basis for R? (d) Is {ui, U2, U3, u} a basis for Rº?! (e) Are ui, u, and O linearly independent?! Problem 6. (15 points). Let A...
(1 point) Suppose S = {r, u, d} is a set of linearly independent vectors. If x = 4r + 2u + 5d, determine whether T = {r, u, 2} is a linearly independent set. Select an Answer 1. Is T linearly independent or dependent? IfT is dependent, enter a non-trivial linear relation below. Otherwise, enter O's for the coefficients. u+ !!! I=0
(1 point) Let u4 be a linear combination of {u1, U2, U3}. Select the best statement. O A. We only know that span{u1, U2, U3, u4} span{u1, u2, u3} . B. There is no obvious relationship between span{u1, U2, uz} and span{u1, U2, U3, u4} . C. span{u1, U2, U3} = span{u1, U2, U3, u4} when none of {u1, U2, uz} is a linear combination of the others. D. We only know that span{u1, U2, U3} C span{u1, U2, U3,...
Section 5.5 Orthonormal Sets: Problem 3 Previous Problem Problem List Next Problem (1 point) -5 Use Theorem 5.5.2 to write the vector v = -6 10 as linear combination of -1/V19 -3/V10 3/7190 U1 = -3/719 , U2 = 0/V10 and uz = -10/190 -3/V19 1/V10 9/7190 Note that ui, u2 and uz are orthonormal. V = uj+ u2+ U3 Use Parseval's formula to compute ||v||2. ||01|2
0 (1 point) Let uz = 4. → U12 = ,113 = 4 Which of the following are in the span of u1, 12, uz? 6 A. 8 4 :-2 B. 8 1 C. Write the following vector as a linear combination of u1, U2, U3. If it is not possible, leave each entry empty. + () + [:1-03 3
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