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

Advanced Engineering Mathematics
10th Edition
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 - (1, —2], [0, —1))
Suppose that T :V → V is the linear operator defined by
T(x, y) = ((-1)x + (-1)y, 2x + (-1)y)
Write down the values below if the matrix associated to T with respect to B is:
[a b
[T)B =
c
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 - (1, —2], [0, —1)) Suppose that T :V → V is the linear operator defined by T(x, y) = ((-1)x + (-1)y, 2x + (-1)y) Write down the values below if the matrix associated to T with respect to B is: [a b [T)B = c d a = b = C = d =
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