3) Let T b d e d] = i) A basis for Ker(T) would be: ii) The Nullity of T is: la + 1b+(-1) c+0d + le+ (-2) f] la + 2b + 0c + (-2) d + 2e + (-1) f 0a+1b+2c + (-3) d + 3e +2f 2a + 2b +(-3) c + 1d + le+ (-5) f] iii) The Rank of T is:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section: Chapter Questions
Problem 20RQ
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T|₁
d
3) Let T
b
e
ii) The Nullity of T is:
=
i) A basis for Ker(T) would be:
iii) The Rank of T is:
la + 1b+(-1) c+0d + le+ (-2) f
la + 2b +0c + (-2) d + 2e + (-1) f
Oa + 1b+2c +(-3) d + 3e +2ƒ
2a + 2b+(-3) c + 1d + le+ (-5) f]
Transcribed Image Text:T|₁ d 3) Let T b e ii) The Nullity of T is: = i) A basis for Ker(T) would be: iii) The Rank of T is: la + 1b+(-1) c+0d + le+ (-2) f la + 2b +0c + (-2) d + 2e + (-1) f Oa + 1b+2c +(-3) d + 3e +2ƒ 2a + 2b+(-3) c + 1d + le+ (-5) f]
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