Consider the following functions: f1(x) = sin (x1) cos(x2) , x ∈ R 2 f2(x, y) = x ⊤ y, x, y ∈ R n f3(x) = xx⊤ , x ∈ R n (a) What are the dimensions of d fi/dx? (b) Compute the Jacobians.
Consider the following functions: f1(x) = sin (x1) cos(x2) , x ∈ R 2 f2(x, y) = x ⊤ y, x, y ∈ R n f3(x) = xx⊤ , x ∈ R n (a) What are the dimensions of d fi/dx? (b) Compute the Jacobians.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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Question
Consider the following functions:
f1(x) = sin (x1) cos(x2) , x ∈ R
2
f2(x, y) = x
⊤
y, x, y ∈ R
n
f3(x) = xx⊤
, x ∈ R
n
(a) What are the dimensions of d fi/dx?
(b) Compute the Jacobians.
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