Suppose T is a linear where ū = (1,0,0) T(u) = (-2,-4, 2) v = (0, 1, 0) T (7) (0, -5, -3) w = (0,0,1) T(w) (4,2,0) Then I can be represented by the matrix T= transformation, = =
Suppose T is a linear where ū = (1,0,0) T(u) = (-2,-4, 2) v = (0, 1, 0) T (7) (0, -5, -3) w = (0,0,1) T(w) (4,2,0) Then I can be represented by the matrix T= transformation, = =
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:Suppose T is a linear transformation,
ū =
(1,0,0)
T(u)
v =
(0, 1, 0)
T (7)
w =
(0, 0, 1)
T(w)
Then I can be represented by the matrix
T
X
-2
O
0
O
-5
O
O
O
0
=
=
=
where
(−2, —4, 2)
(0, -5, -3)
(4,2,0)
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