3. (1 point) Let f : R² → R³ be the linear transformation determined by (;)-() (1)-() 3 4 -6 (1) Find f ( -7 | -6 f -7 | (2) Find the matrix of the linear transformation f. X y y (3) The linear transformationƒ is • injective

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. (1 point) Let f : R² → R' be the linear transformation
determined by
-2
-2
(:)
-5
3
-3
4
-6
-9-
(1) Find f
-7
(5)-|-}
f
(2) Find the matrix of the linear transformation f.
X
y
y
(3) The linear transformation f is
• injective
Transcribed Image Text:3. (1 point) Let f : R² → R' be the linear transformation determined by -2 -2 (:) -5 3 -3 4 -6 -9- (1) Find f -7 (5)-|-} f (2) Find the matrix of the linear transformation f. X y y (3) The linear transformation f is • injective
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