×
Log in to StudySoup
Get Full Access to Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) - 3 Edition - Chapter 3 - Problem 3.5.44
Join StudySoup for FREE
Get Full Access to Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) - 3 Edition - Chapter 3 - Problem 3.5.44

Already have an account? Login here
×
Reset your password

find all possible values of rank(A) as a varies. a 2 13 3 22 1 aA 1 2

Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) | 3rd Edition | ISBN: 9780538735452 | Authors: David Poole ISBN: 9780538735452 298

Solution for problem 3.5.44 Chapter 3

Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) | 3rd Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) | 3rd Edition | ISBN: 9780538735452 | Authors: David Poole

Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) | 3rd Edition

4 5 1 269 Reviews
20
2
Problem 3.5.44

find all possible values of rank(A) as a varies. a 2 13 3 22 1 aA 1 2

Step-by-Step Solution:
Step 1 of 3

Derivatives of Trig Functions:  In general, sinx)=cosx '  In general, cosx )=−sinx ' 2 1  In general, tanx )=sec x= 2 (you can derive this cos x using the trig and quotient rules)  In general, secx )=tanx∗secx (you can derive this using tri and quotient rules) The Chain Rule:  If f is differentiable at g(x)'and g is differentiable at x, then [f ∘g )x ]= f g( (x))g '(x) ' ' ' '  [(f ∘g∘h )(x)]=f g(h( x ))( h (x))h (x)  Example: x f (x)=2 f(x = ln2 Remember x 2=e 2 = (eln) =e xln2 xln2 Inner: () Outer: e (Inner)’ = ln2 () (Outer)’ = ' e ' f(x = (2x)= (exln)=e ∗ln2=e xlnln2=2 ln2 '  In general: xlna )=lna  In general: a x)=a lnaif a>0 Implicit Differentiation:  Know how to solve for y’ when it an equation is not solved for y  2 methods: o 1. You can solve the equation for y and then differentiate o 2. You can differentiate both sides of the equation and isolate y’ (called implicit differentiation). Use the chain rule to differentiate terms with y

Step 2 of 3

Chapter 3, Problem 3.5.44 is Solved
Step 3 of 3

Textbook: Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign)
Edition: 3
Author: David Poole
ISBN: 9780538735452

Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) was written by and is associated to the ISBN: 9780538735452. This textbook survival guide was created for the textbook: Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign), edition: 3. The full step-by-step solution to problem: 3.5.44 from chapter: 3 was answered by , our top Math solution expert on 01/29/18, 04:03PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 7 chapters, and 1985 solutions. Since the solution to 3.5.44 from 3 chapter was answered, more than 277 students have viewed the full step-by-step answer. The answer to “find all possible values of rank(A) as a varies. a 2 13 3 22 1 aA 1 2” is broken down into a number of easy to follow steps, and 18 words.

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

find all possible values of rank(A) as a varies. a 2 13 3 22 1 aA 1 2