Write v as a linear combination of ui, uz, and U3, if possible. (If not possible,...
(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 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,...
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) 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...
linear algebra -Answer the following question: If S ={ ui, U2, U3} is a set of vectors in the vector space R', where új =(2,0,1), uz =(0,1,0), and uz =(-2,0,0). i) Determine whether the vector v=(2,4,2) is a linear combination of uı, U2 and uz or not. ii) Show that the set S is a spanning set for R or not. Why? iii) Is the set S linearly independent in R? iv) Determine whether S is basis for R' or...
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
(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...
Consider the following vectors. 9 0 6 0 Give the corresponding linear combination. (If an answer does not exist, enter DNE.) 1I Is the vector v a linear combination of the vectors u1 and u? O The vector v is a linear combination of u and u 2 The vector v is not a linear combination of u1 and u2- Consider the following vectors. 9 0 6 0 Give the corresponding linear combination. (If an answer does not exist, enter...
4. Use elementary row operations (Gauss-Jordan method) to find the inverse of the matrix (if it exists). If the inverse does not exist, explain why. 1 0-1 A:0 1 2 0 -1 2us 0P 0 Determine whether v is in span(ui, u2, us). Write v as a linear combination of ui, u2, and us if it is in span(u1, u2, u3). If v is not in span(ui, u2, u3), state why. span(ui,u2,us). If v is not in span(ui,u^, us), state...
Let L:R4 → R3 be a linear operator defined by: ui U2 L ( U1 + U3 U2 + U3 U2 + 4 U3 14 What is dim(Range(L))? Answer: