(1 point) Let [ 4 51 [ 51 A = -1 -2 and b = 1 : 1-3 -3] 1-6] Define the linear transformation T : R2 → R3 by T(x) = Añ. Find a vector à whose image under T is b. Is the vector x unique? choose
(1 point) Let 6 -5 5 16 47 5 4 6 A= and b= 3 3 11 -4 -3 -8 116 40 Define the transformation T:R? R4 by T(2) = Ax. Find a vector x whose image under T is b. = Is the vector x unique? unique
Define the linear transformation T:?3??4 by T(x )=Ax . Find a vector x whose image under T is b (1 pt) Let 4 5 2 -2 5 -3 2 and b-10 -7 2 1 -4 Define the linear transformation T : R3 ? R4 by T(x-Ax Find a vector x whose image under T is b. x= Is the vectorx unique? choose
[1 41 and we [-121 (1 point) Let A= 3 12 Find k so that there exists a vector x whose image under the linear transformation T(x) = Axis w. Note: The image is what comes out of the transformation. k= Find k so that w is a solution of the equation Ax = 0
2. (5 points) Let T: R2 + R3 be a linear transformation with 2x1 - x2] 1-3x1 + x2 | 2x1 – 3x2 Find x = (x) <R? such that [0] -1 T(x) = (-4)
Previous Problem Problem List Next Problem (1 point) Let 07 A = -5 6 6 and b -3 3 -2 L 9 -437 96 R4 by T) = AE. Find a vector ã whose image under T is . Define the linear transformation T: R3 Is the vector i unique? choose Note: In order to get credit for this problem all answers must be correct
Please answer the following. Thank you. (1 point) Let A--5-5-5 5 |. Find basis for the kernal and image of the linear transformation T defined by T(刃 L-5-1 5, Kernel basis: Image basis: To enter a basis into WeBWorK, place the entries of each vector inside of brackets, and enter a list of these vectors, separated by commas. For instance, if your basis is2 1 I&, then you would enter [1,2,3],[1,1,1] into the answer blank. 3] L1 (1 point) Let...
Chapter 7: Problem 4 1 4 -2 6 (1 point) Let A- 3 6 -24 12 36 | Find basis for the kernal and image of the linear transformation T defined by T 12 6 18 Z)-Ai SAMSUNG
(1 point) Let 1-11 ſi -1 31 A = 0 1 -1 and b=1-2 L-1 -2 0 [7] Define the linear transformation T:R* R* by T(T) = A. Find a vector a whose image under T is b. Is the vector i unique? choose choose unique Note: In order to get cred not unique all answers must be correct
(1 point) Let f:R → R'be the linear transformation defined by T 4 -5 51 f(T) = -1 2 - 5 . | -4 0 3 Let B = {(-2,-1, 1), (-2, -2,1),(-1,-1,0)}, C = {{-2, -1, 1), (2,0, -1),(-1,1,0)}, be two different bases for R3. Find the matrix f for f relative to the basis B in the domain and C in the codomain. IT 3