Let V = Rowz be the vector space of 3-dimensional row vectors and let W = Poly, be the ve following basis for V and let B' be the following basis for W. %3D
Let V = Rowz be the vector space of 3-dimensional row vectors and let W = Poly, be the ve following basis for V and let B' be the following basis for W. %3D
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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![Let V = Row3 be the vector space of 3-dimensional row vectors and let W = Poly, be the vector space of polynomials of degree 1 or less. Let B be the
following basis for V and let B' be the following basis for W.
Den die uel
derctaandeha wees enlaat
В - (1,0, 0], [0, 0, —1], [0, 1, 0])
B' = ((-1+læ), (1+0x))
Suppose that T:V → W is a linear map and that the matrix associated to T with respect to the bases Band B' is:
e dievelsende is
2
-1
-2
[Ts'+ B =
-4
-3 -4
Find the value of /
T ([1, –2, 2]).
Write down the values below if the answer is /Cl di
(а, + (а2)х)
a1 =
a2 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd5b13e77-a9a4-4dec-bdc9-e5b29589bc24%2F80477ba1-3899-432a-9787-e0a79d6be673%2F0vjcvym_processed.png&w=3840&q=75)
Transcribed Image Text:Let V = Row3 be the vector space of 3-dimensional row vectors and let W = Poly, be the vector space of polynomials of degree 1 or less. Let B be the
following basis for V and let B' be the following basis for W.
Den die uel
derctaandeha wees enlaat
В - (1,0, 0], [0, 0, —1], [0, 1, 0])
B' = ((-1+læ), (1+0x))
Suppose that T:V → W is a linear map and that the matrix associated to T with respect to the bases Band B' is:
e dievelsende is
2
-1
-2
[Ts'+ B =
-4
-3 -4
Find the value of /
T ([1, –2, 2]).
Write down the values below if the answer is /Cl di
(а, + (а2)х)
a1 =
a2 =
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