Let A=NA=M²1(f) be the matrix associated with the linear map f((x,y,z)) = (x-2y.y + z.0) relative to the basesv= (0,2.1), w=(2,1,0)) and B'='=(0,0.2); y'=(1,0,3); w=(1,3,1)) Then the first column of A is:B=(u=(1,0.3);O(1/2)0000-1/21/2-1/21/2-1/201-1/21/2-1/2

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Answered: Let A = M (f) be the matrix associated…

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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Which of the following can be the vector equation of the line passing through the points (3,2,1) and (5 / 2,1, -2)?
Let f(u, v) = (u - v, 1, u + v) and g(x, y, z) = xyz. Find the entry a12 (i.e. the entry in the first row and second column) of the derivative matrices Df(u, v), Dg(x, y, z) and D(gof)(0, 1). (a) a 12 of Df(u, v) is (b) a12 of Dg(x, y, z) is (c) a12 of D(gof)(0, 1) is (d) Select the correct answer about D(g. f)(u, v) D(gof)(u, v) is a 1 x 2 matrix. D(gof)(u, v) is a 2 x 2 matrix. D(gof)(u, v) is a 3 x 2 matrix. D(gof)(u, v) is a 2 x 3 matrix. D(gof)(u, v) is a real-valued function of u and v. (e) Select the correct answer about D(f g)(x, y, z) OD(fog)(x, y, z) is not defined. D(fog)(x, y, z) is a real-valued function of x and y. D(fog)(x, y, z) is a 3 x 2 matrix. D(fog)(x, y, z) is a 2 x 2 matrix. D(fog)(x, y, z) is a 2 x 1 matrix.
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Let A = M (f) be the matrix associated with the linear map f((x,y,z)) = (x-2y.y+2.0) relative to the bases B=(u=(1,0.3); v= (0,2,1), w=(2,1.0) ) and B'='=(0,0.2) :'=(1,0,3); w=(1,3,1)) Then the first column of A is: O(1/2) 0 0 0 0 -1/2 1/2 -1/2 1/2 -1/2 0 -1/2 1/2 -1/2