Homework Answers
(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. 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...
s=3 Let sor,+r,+r, = . Determine whether the set 2-X.SX-X?.6-(s+1)x+x' in P, is early independent or...
s=3
Let sor,+r,+r, = . Determine whether the set 2-X.SX-X?.6-(s+1)x+x' in P, is early independent or linearly dependent. If the set is linearly dependent then write one of the tors as a linear combination of the other two vectors in the set.
1 point) -3 Let A-3 4 14 and b- 12 -12 1 1 -4 -57 -24...
1 point) -3 Let A-3 4 14 and b- 12 -12 1 1 -4 -57 -24 Select Answer1. Determine if b is a linear combination of Ai, A2 and A3, the columns of the matrix A. If it is a linear combination, determine a non-trivial linear relation. (A non-trivial relation is three numbers that are not all three zero.) Otherwise, enter O's for the coefficients Ai+ A2t A, b. 1 point) Determine if the given subset of R3 is a...
please help with this linear algebra question Question 10 [10 points] Let V be a vector...
please help with this linear algebra
question
Question 10 [10 points] Let V be a vector space and suppose that {u, v, w is an independent set of vectors in V. For each of the following sets of vectors, determine whether it is linearly independent or linearly dependent. If it is dependent, give a non-trivial linear combination of the vectors yielding the zero vector. a) {-v-3w, 2u+w, -u-2v} is linearly independent b) {-3v-3w, -u-w, -3u+3v} < Select an answer >
nsid r the following et ār vnctors. Let 1 v2 and V3 be column vectors in and let A be the 3 × 3 matrix v 1 v2 v③ with these vectors as its columns. The vi v2 and ] are linearly dependent if and nly t...
nsid r the following et ār vnctors. Let 1 v2 and V3 be column vectors in and let A be the 3 × 3 matrix v 1 v2 v③ with these vectors as its columns. The vi v2 and ] are linearly dependent if and nly the hom 9ene us linear system with augmented matrix 시 has a no tr ia solution Consider the following equation. 81-3-311 Solve for ci 2, andc3. If a nontrlvial solution exists, state it or...
*) . Determine whether the members of the given set of vectors are linearly independent. If...
*) . Determine whether the members of the given set of vectors are linearly independent. If they are linearly dependent, find a linear relation among them of the form C. Cz, and C as real numbers. If the vectors are linearly independent, enter INDEPENDENT.) *(). *--(). *»( (C1,C2,C)-
Let u = and v= Determine whether the vectors u and v are linearly independent or...
Let u = and v= Determine whether the vectors u and v are linearly independent or linearly dependent, and choose the most correct answer below. A. The vectors are linearly independent. B. We cannot easily tell whether the vectors are linearly independent or linearly dependent. C. The vectors are linearly dependent.
Let S={2,3+x,1−x2}, p(x)=2−x−x2 and V=P2 (a) If possible, express p(x)as a linear combination of vectors in...
Let S={2,3+x,1−x2}, p(x)=2−x−x2 and V=P2 (a) If possible, express p(x)as a linear combination of vectors in S. (b) By justifying your answer, determine whether the set S is linearly independent or linearly dependent. (c) By justifying your answer, determine whether the set S is a basis for P2 Please solve it in very detail, and make sure it is correct.
(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. 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...
s=3
Let sor,+r,+r, = . Determine whether the set 2-X.SX-X?.6-(s+1)x+x' in P, is early independent or linearly dependent. If the set is linearly dependent then write one of the tors as a linear combination of the other two vectors in the set.
1 point) -3 Let A-3 4 14 and b- 12 -12 1 1 -4 -57 -24 Select Answer1. Determine if b is a linear combination of Ai, A2 and A3, the columns of the matrix A. If it is a linear combination, determine a non-trivial linear relation. (A non-trivial relation is three numbers that are not all three zero.) Otherwise, enter O's for the coefficients Ai+ A2t A, b. 1 point) Determine if the given subset of R3 is a...
please help with this linear algebra
question
Question 10 [10 points] Let V be a vector space and suppose that {u, v, w is an independent set of vectors in V. For each of the following sets of vectors, determine whether it is linearly independent or linearly dependent. If it is dependent, give a non-trivial linear combination of the vectors yielding the zero vector. a) {-v-3w, 2u+w, -u-2v} is linearly independent b) {-3v-3w, -u-w, -3u+3v} < Select an answer >
nsid r the following et ār vnctors. Let 1 v2 and V3 be column vectors in and let A be the 3 × 3 matrix v 1 v2 v③ with these vectors as its columns. The vi v2 and ] are linearly dependent if and nly the hom 9ene us linear system with augmented matrix 시 has a no tr ia solution Consider the following equation. 81-3-311 Solve for ci 2, andc3. If a nontrlvial solution exists, state it or...
*) . Determine whether the members of the given set of vectors are linearly independent. If they are linearly dependent, find a linear relation among them of the form C. Cz, and C as real numbers. If the vectors are linearly independent, enter INDEPENDENT.) *(). *--(). *»( (C1,C2,C)-
Let u = and v= Determine whether the vectors u and v are linearly independent or linearly dependent, and choose the most correct answer below. A. The vectors are linearly independent. B. We cannot easily tell whether the vectors are linearly independent or linearly dependent. C. The vectors are linearly dependent.
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