Assume that T is a linear transformation. Find the standard matrix of T. T: R°→R2, T(e,) = (1,8), and T(e2) =(-2,5), and T(e3) = (8, – 7), where e, , e2, and eg are the columns of the 3×3 identity matrix.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 13EQ: In Exercises 11-14, find the standard matrix of the linear transformation in the given exercise....
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Assume that T is a linear transformation. Find the standard matrix of T.
T: R¬R?,
T(e,) = (1,8), and T(e,) =(-2,5), and T(eg) = (8, - 7), where e,, e,, and eg are the columns of the 3x3 identity matrix.
A = |(Type an integer or decimal for each matrix element.)
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Transcribed Image Text:Assume that T is a linear transformation. Find the standard matrix of T. T: R¬R?, T(e,) = (1,8), and T(e,) =(-2,5), and T(eg) = (8, - 7), where e,, e,, and eg are the columns of the 3x3 identity matrix. A = |(Type an integer or decimal for each matrix element.) Help me solve this View an example Textbook
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