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...

Question

Question

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 v

math algebra

Answer 1

Answer #1

4. 3 S2-310 o 8-312 그12 | 41 o 千 의 12 he m obove Sinee solution ia oiviad vectors are Lineary Indlep enolent

Answer 2

Similar Homework Help Questions

Let v1,v2,v3 and v4 be linearly independent vectors in R4. Determine whether each set of vectors...

Let v1,v2,v3 and v4 be linearly independent vectors in R4. Determine whether each set of vectors is linearly independent or dependent. Please solve d) and f) U1, 2, 03, 4
Let {v1, v2,v3} be a linearly independent set in R^n and let v = -αv3 +v1,w...

Let {v1, v2,v3} be a linearly independent set in R^n and let v = -αv3 +v1,w = v2 - αv1, u= v3-αv2 where αER, find all the values of α, where v, w, u are linearly dependent. do not use matrices.
Can I get help with questions 2,3,4,6? be the (2) Determine if the following sequences of vectors vi, V2, V3 are linear...

Can I get help with questions 2,3,4,6? be the (2) Determine if the following sequences of vectors vi, V2, V3 are linearly de- pendent or linearly independent (a) ces of V 0 0 V1= V2 = V3 = w. It (b) contains @0 (S) V1= Vo= Va (c) inations (CE) n m. -2 VI = V2= V3 (3) Consider the vectors 6) () Vo = V3 = in R2. Compute scalars ,2, E3 not all 0 such that I1V1+2V2 +r3V3...

Mark each statement as True or False and justify your answer. a) The columns of a...

Mark each statement as True or False and justify your answer. a) The columns of a matrix A are linearly independent, if the equation Ax = 0 has the trivial solution. b) If vi, i = 1, ...,5, are in RS and V3 = 0, then {V1, V2, V3, V4, Vs} is linearly dependent. c) If vi, i = 1, 2, 3, are in R3, and if v3 is not a linear combination of vi and v2, then {V1, V2,...
4. Consider 3 linearly independent vectors V1, V2, V3 E R3 and 3 arbi- trary numbers...

4. Consider 3 linearly independent vectors V1, V2, V3 E R3 and 3 arbi- trary numbers dı, d2, d3 € R. (i) Show that there is a matrix A E M3(R), and only one, with eigenvalues dı, d2, d3 and corresponding eigenvectors V1, V2, V3. (ii) Show that if {V1, V2, V3} is an orthonormal set of vectors. then the matrix A is symmetric.
37 Let vi = 0 , V2 = 1, and V3 = 2 . These 3...

37 Let vi = 0 , V2 = 1, and V3 = 2 . These 3 vectors are linearly -1] dependent. Fill in the blanks for c2 and C3 so that the following is a linear dependence relation: Vi + C2 V2 + c3 V3 = 0.

Problem 4 (1 point) Let 9 -9 3 Are the vectors vi, v2. and vs linearly...

Problem 4 (1 point) Let 9 -9 3 Are the vectors vi, v2. and vs linearly independent or linearly dependent? linearly dependent If the vectors are linearly independent, enter 0 in every answer blank since those are only the values that make the equation below true. If the vectors are linearly dependent, find scalars, not all 0, which make the equation below true -167 -15 12+ Problem 5
Question 2. (15 pts) Let Vi= (-3 0 6)", v2= (-2 2 3)", V3= [0 -...

Question 2. (15 pts) Let Vi= (-3 0 6)", v2= (-2 2 3)", V3= [0 - 6 3)", and w= [1 14 9)? (1). Determine if w is in the subspace spanned by V1, V2, V3. (2). Are the vectors Vi, V2, V3 linearly dependent or independent? Justify your answer.
Let v1= [−3 0 6]T , v2= [−2 2 3]T , v3= [0 − 6 3]T...

Let v1= [−3 0 6]T , v2= [−2 2 3]T , v3= [0 − 6 3]T , and w= [1 14 9]T . (1). Determine if w is in the subspace spanned by v1, v2, v3. (2). Are the vectors v1, v2, v3 linearly dependent or independent? Justify your answer.

Question 2. (15 pts) Let vi= (-3 0 6)", V2= (-2 2 317, V3= [0 -...

Question 2. (15 pts) Let vi= (-3 0 6)", V2= (-2 2 317, V3= [0 - 6 3)", and w=(1 14 9) (1). Determine if w is in the subspace spanned by va, V2, V3. (2). Are the vectors V1, V2, V3 linearly dependent or independent? Justify your answer.