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:
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
Related questions
Question
![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:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdef25b02-21c7-4f0b-87c4-78c9bf8df921%2F88c11f97-46eb-4b7c-a0ea-b56470ccb893%2Frjbw3t9_processed.jpeg&w=3840&q=75)
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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