Problem No. 6.7 Determine by inspection whether the vectors are linearly dependent or not. Justify the...
-8x1-3x2+2x3 0 -xi + 4x2 + 2x3 0 Determine if the system has nontrivial solution. Try to use as few equivalent row operations as possible. Show all your work, do not skip steps Displaying only answer is not enough to get credit Solution (Show all intermediate steps, formulas, calculations, explanations and comments below this line. Don't write above this line) -xi-3x2 + 5x3-0 13- -3x 7x2 +9x3 0 Write the solution set of the given homogeneous system of equations in...
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...
Page 8 of 9 HW-04 Problem No. 4.7 /10 pts 6 2 k For what value(s) of k is y in the plane spanned by vi and v? Show all your work, do not skip steps Displaying only the answer is not enough to get credit Solution (Show all intermediate steps, formulas, calculations, explanations and comments below this line. Don't write above this line) 2 k -3 - 1 4 1 K Page 8 of 9 HW-04 Problem No. 4.7...
Determine whether the given functions are linearly dependent or linearly independent on the specified interval. Justify your decision. Thank you! Determine whether the given functions are linearly dependent or linearly independent on the specified interval. Justify your decision. {e 3*, e5x, 27x} on (-00,00) e Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 3x 5x + =e and C2 A. The functions are linearly dependent because for constant values, C1 and...
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:
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)}
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
Page 8 of 9 HW-07 EEL-3120 Problem No. 7.7 10 pts 7 -2 0 -53 A--2 0 -5 7 3 0 -5 7 22 l) find k such that Nul(A) is a subspace of R 2) find k such that Col(A) is a subspace of R Show all your work, do not skip steps Displaying only answer is not enough to get credit. Solution (Show all intermediate steps, fonnulas, calculations, explanations and comments below this line. Don't write above this...
(4 points) Let Are the vectors V1, V2 and V3 linearly independent? choose 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. 1-1 Note: In order to get credit for this problem all answers must be correct.
Problem No. 1.4 / 10 pts. Solve the given system using elementary row operation Do not use matrices Show all your work, do not skip steps. Displaying only final answer is not enough to get credit. Problem No. 1.4 / 10 pts. Solve the given system using elementary row operation Do not use matrices Show all your work, do not skip steps. Displaying only final answer is not enough to get credit.