Question

Determine whether the given functions are linearly dependent or linearly independent. f1(t) = 4t − 7,...

Determine whether the given functions are linearly dependent or linearly independent.

f1(t) = 4t − 7, f2(t) = t2 + 1, f3(t) = 6t2t, f4(t) = t2 + t + 1

linearly dependentlinearly independent   


If they are linearly dependent, find a linear relation among them. (Use f1 for f1(t), f2 for f2(t), f3 for f3(t), and f4 for f4(t). Enter your answer in terms of f1, f2, f3, and f4. If the system is independent, enter INDEPENDENT.)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Determine whether the given functions are linearly dependent or linearly independent. f1(t) = 2t − 9,...
Determine whether the given functions are linearly dependent or linearly independent. f1(t) = 2t − 9, f2(t) = 2t2 + 1, f3(t) = 9t2 + t If they are linearly dependent, find a linear relation among them. (Use f1 for f1(t), f2 for f2(t), and f3 for f3(t). Giveyour answer in terms of f1, f2, and f3.)
Determine if the set of functions is linearly independent: 1. f1(x)=cos2x, f2(x)=1, f3(x)=cos^2 x 2. f1(x)=e^...
Determine if the set of functions is linearly independent: 1. f1(x)=cos2x, f2(x)=1, f3(x)=cos^2 x 2. f1(x)=e^ x, f2(x)=e^-x, f3(x)=senhx
Consider the following functions. f1(x) = x, f2(x) = x-1, f3(x) = x+4 g(x) = c1f1(x)...
Consider the following functions. f1(x) = x, f2(x) = x-1, f3(x) = x+4 g(x) = c1f1(x) + c2f2(x) + c3f3(x) Solve for c1, c2, and c3 so that g(x) = 0 on the interval (−∞, ∞). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.) {c1, c2, c3} =?    Determine whether f1, f2, f3 are linearly independent on the interval (−∞, ∞). linearly dependent or linearly independent?  
Determine whether the given set of vectors is linearly dependent or independent. ?? = [5 1...
Determine whether the given set of vectors is linearly dependent or independent. ?? = [5 1 2 1], ?? = [−1 1 2 − 1], ?? = [7 2 4 1]
Determine the order, dependent and independent variables of the given differential equation and state whether the...
Determine the order, dependent and independent variables of the given differential equation and state whether the equation is linear or nonlinear. (a) xdy + exy = 2x + 1dx (b) yy′′ + 4y′ + y = 3t (c) (1+t2)x′′ +tx′ −x2 = 0
1.) either solve the given system of equations, or else show that there is no solution....
1.) either solve the given system of equations, or else show that there is no solution. x1 + 2x2 - x3 = 2 2x1 + x2 + x3 = 1 x1 - x2 + 2x3 = -1 2.) determine whether the members of the given set of vectors are linearly independent. If they are linearly dependent, find a linear relation among them. (a.) x(1) = (1, 1, 0) , x(2) = (0, 1, 1) , x(3) = (1, 0, 1)...
Determine if vectors are linearly dependent or independent: 1. (1,2), (-1,-3) 2. (2,-1,4),(4,-2,7),(1,5,8) 3. (-3,4,2),(7,-1,3),(1.1.8)
Determine if vectors are linearly dependent or independent: 1. (1,2), (-1,-3) 2. (2,-1,4),(4,-2,7),(1,5,8) 3. (-3,4,2),(7,-1,3),(1.1.8)
Determine whether the lines L1:x=7+3t, y=7+3t, z=−1+t and L2:x=−10+4t, y=−12+5t, z=−12+4t intersect, are skew, or are...
Determine whether the lines L1:x=7+3t, y=7+3t, z=−1+t and L2:x=−10+4t, y=−12+5t, z=−12+4t intersect, are skew, or are parallel. If they intersect, determine the point of intersection; if not leave the remaining answer blanks empty.
Determine whether you would use an independent t-test, dependent t-test, or ANOVA with the following: a....
Determine whether you would use an independent t-test, dependent t-test, or ANOVA with the following: a. You have one qualitative independent variable, two levels, a quantitative dependent variable and different participants in each level . b. You have two qualitative independent variables, two levels each, and a quantitative dependent variable. c. You have one qualitative independent variable, two levels, a quantitative dependent variable and same participants in each level.
A. Suppose that v1, v2, v3 are linearly independant and w1=v1+v2, w2=v2-v3, w3= v2+v3. Determine whether...
A. Suppose that v1, v2, v3 are linearly independant and w1=v1+v2, w2=v2-v3, w3= v2+v3. Determine whether w1, w2, w3 are linear independent or linear deppendent. B. Find the largest possible number of independent vectors among: v1=(1,-1,0,0), v2=(1,0,-1,0), v3=(1,0,0,-1), v4=(0,1,-1,0), v5=(0,1,0,-1), v6=(0,0,1,-1)