3) Let T d b }]= la + 1b + 1c + 5d + 2e +2f la + 2b + 0c + 5d + 3e + 1f 3a + 4b +3c + 17d+ 8e +6f -2a + (-1) b+ (-4) c+ (-12) d + (-3) e+ (-6) f] i) A basis for Range(T) would be: ii) The Range of this transformation spans the entire codomain:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 29E
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T[a b
3) Let T
=
la + 1b + 1c +5d + 2e +2f
la + 2b + 0c + 5d + 3e + 1f
3a + 4b +3c + 17d+ 8e +6f
-2a+ (-1) b+ (-4) c + (-12) d + (-3) e+ (-6) f]
i) A basis for Range(T) would be:
ii) The Range of this transformation spans the entire codomain:
Transcribed Image Text:T[a b 3) Let T = la + 1b + 1c +5d + 2e +2f la + 2b + 0c + 5d + 3e + 1f 3a + 4b +3c + 17d+ 8e +6f -2a+ (-1) b+ (-4) c + (-12) d + (-3) e+ (-6) f] i) A basis for Range(T) would be: ii) The Range of this transformation spans the entire codomain:
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