Let W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable, and the following applies. v(1, –5) = -2 Vs(1, –5) = 7 u(1, -5) = -6 us(1, -5) = -7 ut(1, -5) = -1 FU(-6, -2) = 6 Find W(1, –5) and W;(1, –5). Ws(1, -5) : VE(1, -5) = 3 F(-6, -2) = 4 W:(1, –5) =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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Let W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable, and the following applies.
v(1, –5) = -2
Vs(1, –5) = 7
u(1, -5)
= -6
us(1, -5) = -7
ut(1, -5) = -1
FU(-6, -2) = 6
Find W(1, –5) and W;(1, –5).
Ws(1, -5) :
VE(1, -5) = 3
F(-6, -2) = 4
W:(1, –5) =
Transcribed Image Text:Let W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable, and the following applies. v(1, –5) = -2 Vs(1, –5) = 7 u(1, -5) = -6 us(1, -5) = -7 ut(1, -5) = -1 FU(-6, -2) = 6 Find W(1, –5) and W;(1, –5). Ws(1, -5) : VE(1, -5) = 3 F(-6, -2) = 4 W:(1, –5) =
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