Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Transcribed Image Text: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) and D(g. f)(0, 1).
(a) a12 of Df(u, v) is
(b) a12 of Dg(x, y, z) is
(c) a12 of D(g)(0, 1) is
(d) Select the correct answer about D(g. f)(u, v)
OD(g. f)(u, v) is a real-valued function of u and v.
D(g. f)(u, v) is a 2 x 2 matrix.
D(g. f)(u, v) is a 2 x 3 matrix.
D(g f)(u, v) is a 3 x 2 matrix.
0
D(g f)(u, v) is a 1 x 2 matrix.
(e) Select the correct answer about D(f g)(x, y, z)
OD(fog)(x, y, z) is a real-valued function of x and y.
D(fog)(x, y, z) is a 2 x 1 matrix.
D(f g)(x, y, z) is not defined.
0
D(f g)(x, y, z) is a 3 x 2 matrix.
D(f g)(x, y, z) is a 2 x 2 matrix.
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