Question

Let T: R^3 ? R^3 be a linear transformation such that T(1, 0, 0) = (4, -1, 2), T(0, 1, 0) = (-2, 3, 1), and T(0, 0, 1) = (-2, 2, 0). Find the indicated image. T(-3, 1, 0) T(-3, 1, 0) = (-10, 0, -7)

          Let T: R^3 ? R^3 be a linear transformation such that T(1, 0, 0) = (4, -1, 2), T(0, 1, 0) = (-2, 3, 1), and T(0, 0, 1) = (-2, 2, 0). Find the indicated image.
T(-3, 1, 0)
T(-3, 1, 0) = (-10, 0, -7)

Added by Alejandra S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Avinash Vishwakarma

02/04/2022

Step 1

Step 1: Write the vector (-3, 1, 0) as a linear combination of the given basis vectors: (-3, 1, 0) = -3(1, 0, 0) + 1(0, 1, 0) + 0(0, 0, 1) Show more…

Show all steps

Thanks for your feedback!

Let T: R3 → R3 be a linear transformation such that T(1, 0, 0) = (4, -1, 2), T(0, 1, 0) = (-2, 3, 1), and T(0, 0, 1) = (-2, 2, 0). Find the indicated image. T(-3, 1, 0) T(-3, 1, 0) = (-10, 0, -7)