Let T: R² → R³ be Find a matrix A such that (B) 12 +3 [−₁+3x2 − 2x3] T(x) = Ax. Also describe the null space and range of T and give the rank and nullity of T.
Let T: R² → R³ be Find a matrix A such that (B) 12 +3 [−₁+3x2 − 2x3] T(x) = Ax. Also describe the null space and range of T and give the rank and nullity of T.
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: R² → R³ be
Find a matrix A such that
F
(B)
12 +3
[−₁+3x₂ − 2x3
T(x) = Ax.
Also describe the null space and range of T and give the rank and nullity of T.
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