Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Just33
Transcribed Image Text:In Exercises 30-33, find the standard matrix A for the given linear
operator, and determine whether that matrix is diagonalizable. If
diagonalizable, find a matrix P that diagonalizes A.
30. T(x1,x2) = (2x, – x2,X1 + x2)
31. T(x1,x,) = (-x2, -x1)
32. T(x1,x2,X3) = (8x1 + 3x2 – 4x 3, – 3x1 + X2 + 3x3,
4x, + 3x,)
33. T(x1,x2,x3) = (3x1,x2, X1 – x2)
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