a and b Are the following vectors linearly independent? 7 (a) ai = (*) 3 2...
please help thank you, (1 point) Which of the following sets of vectors are linearly independent? A. {( 10, -16), (-5, 8 )} B. {(-4, -7, 1, -8), (1, 3, 9, 7)} c.{(-2, -6)} D.{(1, 3), (-7, 1)} E.{(-9, 4), (0,0)} F.{(0,0)} G.{(-3, 7), (9,-4), (5,-8)} H.{(6, 1, -8), (1, 2, 5)} (1 point) Are the vectors and 10 28 linearly independent? 19 linearly dependent If they are linearly dependent, find scalars that are not all zero such that the...
7. Determine if the following vectors in R' are linearly independent. a (2,0,-4,6)b (1,5,0,-3) c (1,-15,-8,21)
= 5. Determine if the following are linearly independent subsets: a) Determine whether or not vectors (1,-1,1,1), (3,0,1,1), (7,-1,2,1) form a linearly independent subset of R4. [1 01 To 27 -2 1] Let A= and C = . Do A, B, and C form 2 -1 -1 1 a linearly independent subset of M2x2? c) Determine if 5,x? – 6x,(3 – x)² form a linearly independent subset of F(-00,00). 6. Are the following bases? Why or why not. a) {(1,0,2),...
Find such value of the parameter a that the following vectors are linearly dependent: 2 3 0 2 1 a1 = () 02 Az = 7 a - 2 TOP 4.
7) Use the definition to show that the following vectors are linearly independent or dependent? 11 Го 1and 0-1
Are these vectors linearly independent? • [3 4 0 2],[4 − 2 6 14],[0 8 − 6 − 11]
Exercise 2 : 10 pts (5pts each) 1. Determine if the following vectors are linearly independent vii. Using the definition (i.e. kıvı+k_202 + .. + kūri = 7) viii. Using a determinant a. ū = (-1,2) and = (0,1) b. ü =(3,-6) and 3 = (-4,8) c. ū= (1,2), v = (3,1) and w = (2-2) d. i = (1,4,-3), i = (0,7,1) and w = (0,0,1) e. ü= (-1,2,0), v = (4,1, -3) and w = (10.-2.-6) f. ū=...
4 (1 point) Are the vectors -5 H4 0 and -20 linearly independent? 3 linearly independent If they are linearly dependent, enter a non-trivial solution to the equation below. If they are linearly independent, enter the unique solution to the equation below. 4 -5 + 0 0
QULJTIUNIL Which of the following sets of vectors in M2x2 (the vector space are linearly independent? (I) (II) 9 {{:::::::: {[:: [:] [:] [::] {[:] [:] [::]] {{ :) (III) 1 0 3 0 0 (IV) 2 1 1 0
(3) Determine which of the following sets is linearly independent. 02-1 (a) If the set is linearly dependent, express one vector as a non-zero linear combination of the other vectors in the set. (b) If the set is linearly independent, show that the only linear combination of the above vectors which gives the zero vector is such that all scalars are zero. (c) For each of the sets, determine if the span of the vectors is the whole space, a...