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

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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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