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Chapter 6 Solutions
Calculus and Its Applications (11th Edition)
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- Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4, u5 and u6. Then verify your solution. v=(10,30,13,14,7,27) u1=(1,2,3,4,1,2) u2=(1,2,1,1,2,1) u3=(0,2,1,2,1,1) u4=(1,0,3,4,1,2) u5=(1,2,1,1,2,3) u6=(3,2,1,2,3,0)arrow_forwardDetermine whether each vector is a scalar multiple of z=(3,2,5). a v=(92,3,152) b w=(9,6,15)arrow_forwardFor which values of t is each set linearly independent? a S={(t,0,0),(0,1,0),(0,0,1)} b S={(t,t,t),(t,1,0),(t,0,1)}arrow_forward
- Use Cramer's rule to solve the set of linear equations 2x - y- z = 0 5x – 2y + 2z = 3 3x + y – 2z = -8arrow_forward) Let B = {v₁ =, √₂ =, √3 =}. Determine whether B is linearly independent or linearly dependent.arrow_forwardLet u = h = -2 Q---0 4 V= -3 and w= 1 For what value of h is w in the plane spanned by u and v? 7 1 -2 4 harrow_forward
- -2 as a linear combination of x 4 and y = -3 Express the vector v =arrow_forwardEvaluate V(x² y + x y z?) · d r where C is the line segment from (1, – 1,0) to (2,1,3) | Select one: a. Non of them b. 43/2 с. 45/2 d. 49/2 е. 47/2arrow_forwardPlease help me solve, thank you. Don't reject my question. I just want to learn. It's my year one linear algebra question.arrow_forward
- X = Find the vector equation for the line of intersection of the planes x - 5y + 5z = −5 and x + 5z = 1 -25 T +t Oarrow_forwardQ4. Determine whether the vectors are linearly dependent or independent. v1 = (4, -2, 2), v2 = (5, 4, −3), v3 = (-7, 9, 3).arrow_forwardEXER 3.2 - LINEAR ALGEBRA Write v =(4,4,5) as a linear combination of x=(1,2,3), y =(-2,0,1) and z = (1,0,0). That is, find coefficients a,b,c so that v = ax + by + cz. Simply enumerate them in order otherwise if it is not possible, write DNE. Show solutions.arrow_forward
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