In Exercises 1-10, assume that T is a linear transformation. Find 2. T:R' - R, T(e) = (1,3), T(e2) = (4,2), and T(es) = (-5, 4), where e, ez, ey are the columns of the 3 x 3 identity the standard matrix of T. 1. T:R R, T(e) = (2, 1, 2, 1) and T(e) = (-5,2.0,0). matrix. where e = (1,0) and ez = (0, I) 3. T:R - R rotates points (about the origin) through 3x/2 radians (in the counterclockwise direction).
In Exercises 1-10, assume that T is a linear transformation. Find 2. T:R' - R, T(e) = (1,3), T(e2) = (4,2), and T(es) = (-5, 4), where e, ez, ey are the columns of the 3 x 3 identity the standard matrix of T. 1. T:R R, T(e) = (2, 1, 2, 1) and T(e) = (-5,2.0,0). matrix. where e = (1,0) and ez = (0, I) 3. T:R - R rotates points (about the origin) through 3x/2 radians (in the counterclockwise direction).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:In Exercises 1-10, assume that T is a linear transformation. Find
2. T:R'- R, T(e) = (1,3), T(e2) = (4,2), and T(es) =
(-5, 4), where ej, ez, ey are the columns of the 3 x 3 identity
the standard matrix of T.
1. T:R R, T(e) = (2, 1,2, 1) and T (e) = (-5,2.0,0).
matrix.
where e = (1,0) and e = (0, I)
3. T:R - R rotates points (about the origin) through 3x/2
radians (in the counterclockwise direction).
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