Determine whether the set S is linearly independent or linearly dependent. 2 -4 S={ 3 2...
(a). Determine whether the set is linearly dependent or independent. Further, if it is linearly dependent, express one of the polynomials as a linear combination of others. (b). Determine whether the set can be considered as a basis of the vector space P2, which is the set of all polynomials of degree not more than 2 under addition and scalar multiplication. (1). B = {1 – 2,1 – 22, x – x2} (Hint: Similar to the matrix case in last...
11. Determine whether the set S is linear independent of linearly dependent b. S = {(4, 1, 2, 3), (3, 2, 1,4), (1, 5, 5, 9). (1, 3, 9,7)) c. s=(-2-x, 2 + 3x + x, 6 + 5x + xy 93.30 (1.3.0.m
Determine whether the set Sis linearly independent or linearly dependent. S = {0, 0, 1, 0), (0, 1, 1, 0), (1, 1, 1, 0), (1, 1, 1, 1)} linearly independent linearly dependent
Q3. Determine whether the set of vectors in P2 is linearly dependent or linearly independent. S= {2 - x, 4x – x², 6-7x + x>). Q4. Show that the following set is a basis of R. --00:07)}
Determine whether the given set of vectors is linearly dependent or linearly independent. U1 = (1, 2, 3), u2 = (1, 0, 1), uz = (1, -1, 5) linear dependent linear independent
1. (16 points) Determine whether the given set of functions is linearly dependent or linearly independent on the indicated interval. Justify your answers. (a) (8 points) S(x) = x + 2cos?x, S2(x) = 3 sin’x, S(x) = x + 2 on (0,0). (b) (8 points) (x) = and f(x) = differential equation " + 1" 4x are solutions of the linear homogeneous O on () 12
determine whether the set vector is M2,2 is linearly
independent or linearly dependent
- 1-[ : 13-1:-)-E -6 17]
Determine if the given set of vectors is linearly independent or linearly dependent. (a) (4 points) Circle one. (linearly independent or linearly dependent) Explain your reasoning in one sentence. (b) (4 points) {[!) 100 Circle one. (linearly independent or linearly dependent) Explain your reasoning in one sentence.
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...
WURG Will Calculations: 4. Determine whether the vectors are linearly independent or are linearly dependent in R3. V1 = (-1,2, 1), v2 = (0,3,-2), V3 = (1,4,-1) Solution: