Suppose T: R3-→R2 is a linear transformation. Let U and V be the vectors given below, and suppose that T(U) and T(V) are as given. Find T(-3U-3V). U=|1 2 -1|, V= -|2 1 4|, T(U) =| 7 -1|, T(V) = |-19 -3| T(-3U-3V) = |?|

Suppose T: R3-→R2 is a linear transformation. Let U and V be the vectors given below, and suppose that T(U) and T(V) are as given. Find T(-3U-3V). U=|1 2 -1|, V= -|2 1 4|, T(U) =| 7 -1|, T(V) = |-19 -3| T(-3U-3V) = |?|

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.3: Matrices For Linear Transformations

Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.

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T(-3U-3V) = |?|

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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