Suppose T is a linear transformation, whereū =(1, 0, 0)V(0, 1, 0)(0, 0, 1)==Find the following:T(3ū+ 6v + 8) =T(3, 4, 1)) =T(u)T(v)T(w)===(1, -3)(3, 1)(-3,-3)(Enter vectors (x, y) using < x, y >)SUBMIT A PHOTO OF YOUR HANDWRITTEN WORK HERE.(Enter vectors (x, y) using < x, y>)

Answered: Suppose T is a linear transformation,…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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(a) Let u and v be (fixed, but unknown) vectors in R". Suppose that T: R" → R" is a linear transformation such that T(u) = 6u + v and T(v) = 4u - 2v. Compute (T. T)(v), where TT is the composition of T with itself. Express your answer as a linear combination of u and v. (ToT)(v) = 10 u + -1 V Incorrect answer. Incorrect answer. (b) Let v and w be (fixed, but unknown) vectors in R", which are not scalar multiples of each others. Suppose that T: R" → R" is a linear transformation such that T(4v+3w) = -2v-2w and T(v+1w) = 5v+2w. Compute T(v) and express it as a linear combination of v and w. T(v) = 4 v + 2 W Incorrect answer. Incorrect answer.
Suppose T is a linear transformation, where (1, 0, 0) T(u) T(7) (0, 1,0) W (0,0,1) T(w) Then I can be represented by the matrix ū V = = = T= = = = (5, -3, -2) (-2,-1,0) (0,5, 4)
Use the function to find the image of v and the preimage of w. T(V3, V2) = ( V2, V1 + V2, 2v1 - V2 2 v = (2, 2), w = (-6/2, 0, -18) (a) the image of v (0,4,2) (b) the preimage of w (If the vector has an infinite number of solutions, give your answer in terms of the parameter t.) (2,36)
Suppose the vector x characterizing the antigenic state of an influenza virus population changes from one season to the next according to the equation 23 Xt + 1 ¹ -[3.39]** 0 0.9 If the vector in the current season is [...] what was the vector in the previous influenza season? ↓ 1
Suppose T: R³-R² is a linear transformation. Let U, V and W be the vectors given below, and suppose that T(U) and T(V) are as given. Find T(W). -3 3 2 3 ਪ = -3 -1 0 T(W) = 0 0 V = -3 W = | 3 - 1 T(I) = 0 T(V) = 0 -3
Find the Projection of b = (1,2, 1) on to the line x = Projection matrix P and show that P2 = P 2 + t, y = 3 – t, z = t. Also Find
Suppose T is a linear transformation, where T(u) T(7) (3, – 5) (1, 0, 0) (0, 1, 0) (0, 0, 1) (5, 4) 6- T(w) (5, 4) Find the following: T(5u + 70 + 2w) (Enter vectors (x, y) using ) T(( – 3, 5, 4)) = (Enter vectors (x, y) using ) -
Let L be a linear transformation on R2 such that L([1,1]) = ([-2,1]) and L([-1,1]) = [7,-1]. then what's the vector L([7,-1]) sorry to but the numbers in the brackets are in columns, I don't know how to write it thats why.

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Suppose T is a linear transformation, where ū (1, 0, 0) V = = W = (0, 1, 0) (0, 0, 1) Find the following: T(3ū+ 6 + 8u): = T(3, 4, 1)) = T(u) T(v) T(w) = (1, -3) (3, 1) (3, 3) (Enter vectors (x, y) using < x, y>) SUBMIT A PHOTO OF YOUR HANDWRITTEN WORK HERE. (Enter vectors (x, y) using < x, y >)