a b 1) Let T cla + 2b + 1c + 3d + (-11) e+ (-la+ (-1) b + (-2) c + Od + 7e) x. d to Then a basis for (Ker(T)) would be:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 24E
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For each transformation below, determine a basis for (Ker(T))↓.
Note that if you do not need a basis vector, then write 0 for all entries of that basis vector. For example, if you only need 2 vectors in your basis,
then write 0 in all boxes corresponding to the third vector
1) Let T c = 1a + 2b + 1c+3d + (−11) e+ (−la + (−1) b + (−2) c + Od + 7e) x.
El
Then a basis for (Ker(T)) would be:
Transcribed Image Text:For each transformation below, determine a basis for (Ker(T))↓. Note that if you do not need a basis vector, then write 0 for all entries of that basis vector. For example, if you only need 2 vectors in your basis, then write 0 in all boxes corresponding to the third vector 1) Let T c = 1a + 2b + 1c+3d + (−11) e+ (−la + (−1) b + (−2) c + Od + 7e) x. El Then a basis for (Ker(T)) would be:
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