Let V = Row,, the vector space of 2-dimensional row vectors. Let B be the following basis for V. B = ([-2, 1], [1,0]) Suppose that T : V → V is the linear operator defined by /I T(r, y) = (2a + 0y, (–2)x + Oy) Write down the values below if the matrix associated to T with respect to B is: a b [T)B d a = b = C = d =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let V = Row2, the vector space of 2-dimensional row vectors. Let B be the following basis for V.
В - (-2, 1], [1,0])
Suppose that T : V → V is the linear operator defined by /I
T(x, y) :
(2x + 0y, (–2)x + Oy)
Write down the values below if the matrix associated to T with respect to Bis:
a
[T]s = .
d
a =
b =
C =
d =
Transcribed Image Text:Let V = Row2, the vector space of 2-dimensional row vectors. Let B be the following basis for V. В - (-2, 1], [1,0]) Suppose that T : V → V is the linear operator defined by /I T(x, y) : (2x + 0y, (–2)x + Oy) Write down the values below if the matrix associated to T with respect to Bis: a [T]s = . d a = b = C = d =
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