From the matrix below:   M = [ 2 1 3           1 1 0           0 1 -3 ] ,  Provide the following: i.) kernel of T ii.) basis for the range iii.) rank of T iv.) nullity of T

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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From the matrix below:

 

M = [ 2 1 3
          1 1 0
          0 1 -3 ] , 

Provide the following:
i.) kernel of T
ii.) basis for the range
iii.) rank of T
iv.) nullity of T

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