Q-II) Use row operations to find the inverse of the matrix A 01 0 0 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 31RE
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Q-II)
Use row operations to find the inverse of the matrix A 0
00 1
Q-III)
Let T: R R be linear transformation defined by
-2ra + 3
- 44
+3- 4
-3r3+4)
(a) (4 marks) Find the standard matrix of T.
(b) (5 marks) Find a basis for the image of T.
(c) (3 marks) Find a basis for the kernel (nullspace) of T.
Transcribed Image Text:Q-II) Use row operations to find the inverse of the matrix A 0 00 1 Q-III) Let T: R R be linear transformation defined by -2ra + 3 - 44 +3- 4 -3r3+4) (a) (4 marks) Find the standard matrix of T. (b) (5 marks) Find a basis for the image of T. (c) (3 marks) Find a basis for the kernel (nullspace) of T.
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