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49. By inspection, determine why each of the sets is linearly dependent. (a) S = {(1,...
Determine whether the following sets are linearly dependent or linearly indepen dent. If they are linearly dependent, find a subset that is linearly independent and has the same span (b) ((1,-1,2), (1,-2, 1), 1,4, 1)) in R3. (c) (1, 1,0), (1,0, 1), (0,1,1in (F2) (recall that F2-Z/2Z, the field with two elements).
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(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...
1. Determine (by inspection) why the vectors below can or cannot be linearly independent. Explain your answer. [ 31 rol [6] (a) 5 1,0 5 [-1] [ 0 ] [ 4 (b) | | [3][] 2 -11 L aan RS then
3. Show, by inspection (without forming a matrix), that the given vectors are linearly dependent. vi = (1, -1,0,1), v2 = (1,1,1,0), 3 = (1,2,0,1), 74 = (-1, -2, 1,0) 2 -1 ::: - سه 4. Let S = 6 3 Is S a basis for R?? Explain your answer. 0 0
Determine whether the set S is linearly independent or linearly dependent. 2 -4 S={ 3 2 Note: you can only submit each part of this question once for marking. 2 -4 STEP 1: Determine if is a scalar multiple of 3 2 O scalar multiple O not a scalar multiple STEP 2: Determine if the set S is linearly dependent. O linearly independent linearly dependent
Determine whether the given sets of vectors are linearly dependent on mearly independent. Be sure to explain your work 21 0 0 0 54 3 2 1
1. (15 points) Prove whether the following sets are linearly dependent or independent, and determine whether they form a basis of the vector space to which they belong. s 10110 -1 ) / -1 2) / 2 1 17 ) } in M2x2(R). "11-21 )'(1 1)'( 10 )'(2 –2 )S (b) {23 – X, 2x2 +4, -2x3 + 3x2 + 2x +6} in P3(R) (the set of polynomials of degree less than 3. (c) {æ4—23+5x2–8x+6, – x4+x2–5x2 +5x-3, x4+3x2 –...
Determine which of the following sets of vectors are linearly dependent. [1] [- (b) 1,3and 3 (a) and
Problem No. 6.7 Determine by inspection whether the vectors are linearly dependent or not. Justify the answer. Show all your work, do not skip steps Displaying only answer is nox enough to get credit. Solution Show all intemedic stepe farradas calcubtion,explaioen and comments below this En. Don'e ahove thas laci Problem No. 6.8 / 10 pts. 7 4 0 Determine by inspection whether the vectors are linearly dependent or not. Justify the answer. Show all your work, do not skip...
(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...