Let V = Polyz be the vector space of polynomials of degree 2 or less and let W = Poly, be the vector space of polynomials of degree 2 or less. Let B be thefollowing basis for V and let B' be the following basis for W.B = ((1+1x + Oz²), (0+ 0x + (-1)x²), (0+1x + 0x²))B' = ((-1+ 2x +(-1)x²), (0+ læ + 0x?), (1+ (-2)x+0x²))Suppose that T :V → W is a linear map and that the matrix associated to T with respect to the bases Band B' is:-2-1-2[T]g'+8 =-4-1-3-1-1Find the value ofT ((0+ læ + (-2)æ?)).Write down the values below if the answer is(a1 + (a2)x + (a3)a²)aj =a2 =az =

Suppose we have given a linear transformation , is basis of V , is basis of W and associated…

Let V = Poly2 be the vector space of polynomials of degree 2 or less and let W = Poly, be the vector space of polynomials of degree 2 or less. Let B be the following basis for V and let B' be the following basis for W. B = ((1+1æ + 0x²), (0 + 0x + (–1)x²), (0+lx+0x²)) B' = ((-1+2x + (-1)x²), (0+ læ + 0x²), (1+ (–2)x + 0x²)) Suppose that T :V → W is a linear map and that the matrix associated to T with respect to the bases Band B' is: -2 -1 -2 [T]g'+B = -4 -1 -3 -1 -1 Find the value of T ((0+1æ + (-–2)x²)).

Let V = Poly2 be the vector space of polynomials of degree 2 or less and let W = Poly, be the vector space of polynomials of degree 2 or less. Let B be the following basis for V and let B' be the following basis for W. B = ((1+1æ + 0x²), (0 + 0x + (–1)x²), (0+lx+0x²)) B' = ((-1+2x + (-1)x²), (0+ læ + 0x²), (1+ (–2)x + 0x²)) Suppose that T :V → W is a linear map and that the matrix associated to T with respect to the bases Band B' is: -2 -1 -2 [T]g'+B = -4 -1 -3 -1 -1 Find the value of T ((0+1æ + (-–2)x²)).

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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