Question

Let T: R3 -> R3 be a linear transformation such that T(1,1,1) = (2,0,-1) T(0,-1,2) = (-3,2,-1) T(1,0,1) = (1,1,0) Find T(2,-1,1). a) (10,0,2) b) (3,-5/2,-1) c) (2,5/2,2) d) (-3,-2,-3)

          Let T: R3 -> R3 be a linear transformation such that
T(1,1,1) = (2,0,-1)
T(0,-1,2) = (-3,2,-1)
T(1,0,1) = (1,1,0)
Find T(2,-1,1).
a) (10,0,2)
b) (3,-5/2,-1)
c) (2,5/2,2)
d) (-3,-2,-3)

Added by Roberto M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Suman K

06/28/2022

Step 1

Step 1: Find the values of alpha, beta, and gamma using the given equations: From the equations: -2 = alpha + gamma -1 = alpha - beta 1 = alpha + 2beta + gamma Solving these equations, we get: alpha = 1/2 beta = 3/2 gamma = -5/2 Show more…

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Let T: R3 -> R3 be a linear transformation such that T(1,1,1) = (2,0,-1) T(0,-1,2) = (-3,2,-1) T(1,0,1) = (1,1,0) Find T(2,-1,1). a) (10,0,2) b) (3,-5/2,-1) c) (2,5/2,2) d) (-3,-2,-3)