Linear Algebra 1 5. ts) Let T(x) be a linear transformation. Suppose the following ma-trix is a row echelon form of the matrix of the transformation. Use this rowechelon form to answer the following questions.[17 3-11811-3311-13164(a) The inputs x are from R". What is n.(b) The outputs T(x) are from R". What is m.(c) Is T one to one? Justify your answer.(d) Is T onto? Justify your answer.

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Answered: 5. ts) Let T(x) be a linear…

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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Linear Algebra 1

5. ts) Let T(x) be a linear transformation. Suppose the following ma-
trix is a row echelon form of the matrix of the transformation. Use this row
echelon form to answer the following questions.
[17 3
-1
1
8
1
1
-3
3
11
-1
3
16
4
(a) The inputs x are from R". What is n.
(b) The outputs T(x) are from R". What is m.
(c) Is T one to one? Justify your answer.
(d) Is T onto? Justify your answer.

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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