Let V = Colz be the vector space of 3-dimensional column vectors and let W = Poly, be the vector space of polynomials of degree 1 or less Suppose that T:V → W is a linear map satisfying / (E)- (E) T = (1+ (-2)x), T = (-1+2x), T = (4+ (-5)x), Find the value of / T Write down the values below if the answer is / (a1 + (a2)x) a1 = a2 =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let V = Col3 be the vector space of 3-dimensional column vectors and let W = Poly, be the vector space of polynomials of degree 1 or less
Suppose that T :V → W is a linear map satisfying /
= (1+ (-2)x), T
= (-1+ 2x), T
-2 = (4+ (-5)x),
Find the value of /
Write down the values below if the answer is /
(a1 + (a2)x)
a1 =
az =
Transcribed Image Text:Let V = Col3 be the vector space of 3-dimensional column vectors and let W = Poly, be the vector space of polynomials of degree 1 or less Suppose that T :V → W is a linear map satisfying / = (1+ (-2)x), T = (-1+ 2x), T -2 = (4+ (-5)x), Find the value of / Write down the values below if the answer is / (a1 + (a2)x) a1 = az =
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