My Math Forum Linear dependence question

 Linear Algebra Linear Algebra Math Forum

 December 14th, 2017, 05:18 PM #1 Senior Member   Joined: Jan 2017 From: Toronto Posts: 163 Thanks: 2 Linear dependence question Let $\displaystyle f_1(x) = sin x,~ f_2(x) = cos(x + \frac{\pi}{6}), and~ f_3(x) = sin(x - \frac{\pi}{4})$ for $\displaystyle 0 <= x <= 2\pi$. Show that { $\displaystyle f_1, f_2, f_3$ } is linearly dependent by finding constants c and k such that $\displaystyle cf_1 - 2f_2 - kf3 = 0$. what is c and k?
 December 14th, 2017, 06:53 PM #2 Senior Member   Joined: Sep 2016 From: USA Posts: 239 Thanks: 126 Math Focus: Dynamical systems, analytic function theory, numerics Here is a hint: http://www2.clarku.edu/~djoyce/trig/sumformulas.jpg Thanks from zollen
December 14th, 2017, 07:00 PM   #3
Senior Member

Joined: Sep 2015
From: USA

Posts: 1,692
Thanks: 860

Attached Images
 Clipboard01.jpg (41.5 KB, 11 views)

 Tags dependence, linear, question

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post hyperbola Linear Algebra 1 October 19th, 2015 05:57 AM Luiz Linear Algebra 7 August 29th, 2015 01:54 PM Luiz Linear Algebra 1 August 26th, 2015 10:22 AM Luiz Linear Algebra 5 August 24th, 2015 03:10 PM Luiz Linear Algebra 1 August 24th, 2015 11:45 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top