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Which of the following are true for the given matrix transformations? 8. 1) x+8y ] is invertible with inverse T -X-y ラィ+ X+3z 2). -x+y is one to one y+z 2x+y 3) R has range = R? -4x- 2y a. 2 only b. they are all true c. 1 only d. 1 and 2 only e. 3 only

Which of the following are true for the given matrix transformations? 8. 1) x+8y ] is invertible with inverse T -X-y ラィ+ X+3z 2). -x+y is one to one y+z 2x+y 3) R has range = R? -4x- 2y a. 2 only b. they are all true c. 1 only d. 1 and 2 only e. 3 only

Advanced Engineering Mathematics
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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Which of the following are true for the given matrix transformations? 8. x+8y 1) is invertible with inverse T -X-y ラィ+ x+3z 2). -x+y is one to one y+z 2x+y 3) R has range = R? -4x - 2y a. 2 only b. they are all true c. 1 only d. 1 and 2 only e. 3 only
Transcribed Image Text:Which of the following are true for the given matrix transformations? 8. x+8y 1) is invertible with inverse T -X-y ラィ+ x+3z 2). -x+y is one to one y+z 2x+y 3) R has range = R? -4x - 2y a. 2 only b. they are all true c. 1 only d. 1 and 2 only e. 3 only
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