Consider the following three transformations from R³ to R³: R = 6)-())-(-) 0-0 x1 x1 2x3 T x2 = 2x1 2x2-5x3 -x12x2+8x3. x3 x1 x2 = x1+5 x2 x3 x1x3/ Which of these linear transformations is/are invertible? T " S R None of these

Algebra and Trigonometry (6th Edition)
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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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Which are invertible
Consider the following three transformations from R³ to R³:
R
=
6)-())-(-) 0-0
x1
x1 2x3
T
x2 = 2x1 2x2-5x3
-x12x2+8x3.
x3
x1
x2 =
x1+5
x2
x3
x1x3/
Which of these linear transformations is/are invertible?
T
"
S
R
None of these
Transcribed Image Text:Consider the following three transformations from R³ to R³: R = 6)-())-(-) 0-0 x1 x1 2x3 T x2 = 2x1 2x2-5x3 -x12x2+8x3. x3 x1 x2 = x1+5 x2 x3 x1x3/ Which of these linear transformations is/are invertible? T " S R None of these
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