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1. Which of the following transformations are linear? a. T: M→M defined by T(A) = A + I where A € M and I is the nxn identity matrix. b. T: R² R³ defined by T(x, y) = (2x,x- y,0).

1. Which of the following transformations are linear? a. T: M→M defined by T(A) = A + I where A € M and I is the nxn identity matrix. b. T: R² R³ defined by T(x, y) = (2x,x- y,0).

Elementary Linear Algebra (MindTap Course List)
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 43E: Let T:P2P3 be the linear transformation T(p)=xp. Find the matrix for T relative to the bases...
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1. Which of the following transformations are linear? a. T: M→M defined by T (A) = A + I where A € M, and I is the nxn identity matrix. b. T: R² R³ defined by T(x, y) = (2x, x - y,0).
Transcribed Image Text:1. Which of the following transformations are linear? a. T: M→M defined by T (A) = A + I where A € M, and I is the nxn identity matrix. b. T: R² R³ defined by T(x, y) = (2x, x - y,0).
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