Let T: R³ R³ be a linear transformation defined by T(x) = Ax for all x € R³, where 1 0 2-1 A = 0 1 0-3 Find a basis for the kernel of T. Find a basis for the range of T. 2-4 0 1 0-6 12
Let T: R³ R³ be a linear transformation defined by T(x) = Ax for all x € R³, where 1 0 2-1 A = 0 1 0-3 Find a basis for the kernel of T. Find a basis for the range of T. 2-4 0 1 0-6 12
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let T: R5 → R³ be a linear transformation defined by T(x) = Ax for all x € R³, where
0
1 0
2-4
1
2-1
0 1
0 -3 0 -6 12
A =
Find a basis for the kernel of T.
Find a basis for the range of T.
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