So the given vectors are linearly independent.
(4 points) Let Are the vectors V1, V2 and V3 linearly independent? choose If the vectors...
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
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
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 3]", V3= (0 - 6 37, and w= [1 11 9". (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
(1 point) Are the vectors –8 – 12x – 16x2, 12 – 20x – 20x2 and 1 – 8x – 9x2 linearly independent? linearly dependent A If the vectors are independent, enter zero in every answer blank since zeros are only the values that make the equation below true. If they are dependent, find numbers, not all zero, that make the equation below true. You should be able to explain and justify your answer. 0 = (-8 – 12x –...
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.
Let v1 and v2 be two arbitrary linearly independent vectors in R^n . Are (v1 + v2) and (v1 − v2) necessarily linearly independent? Justify.
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.
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 3 10 points Save Answer Suppose you are given 3 vectors V1,V2,V3, and it is true that 2V1-3V2 V3. Can you tell whether the three vectors are linearly dependent or inearly independent?
(a) Determine whether the following vectors are linearly independent: 1 subpts (b) Find Span{v1, V2, V3}. 1 subpts