LINEAR SYSTEMS AND MATRIX ALGEBRA
MATH 196, SECTION 59 (VIPUL NAIK)
Corresponding material in the book: Section 1.3.
Executive summary
(1) The rank of a matrix is dened as the number of nonzero rows in its reduced row-echelon form. The
rank of a matrix is
REVIEW SHEET FOR MIDTERM 2: ADVANCED
MATH 196, SECTION 59 (VIPUL NAIK)
Please bring a copy (print or readable electronic) of this sheet to the review session.
There is also a basic review sheet that contains executive summaries of the lecture notes. You s
REVIEW SHEET FOR MIDTERM 2: BASIC
MATH 196, SECTION 59 (VIPUL NAIK)
We will not be going over this sheet, but rather, well be going over the advanced review sheet in the
session. Please review this sheet on your own time.
The summaries here are identical
TAKE-HOME CLASS QUIZ: DUE FRIDAY MAY 10: LINEAR TRANSFORMATIONS
(MISCELLANEA)
MATH 196, SECTION 59 (VIPUL NAIK)
Your name (print clearly in capital letters):
PLEASE FEEL FREE TO DISCUSS ALL QUESTIONS.
Let n be a natural number greater than 1. Suppose f :
TAKE-HOME CLASS QUIZ: DUE WEDNESDAY MAY 15: IMAGE AND KERNEL
MATH 196, SECTION 59 (VIPUL NAIK)
Your name (print clearly in capital letters):
PLEASE FEEL FREE TO DISCUSS ALL QUESTIONS.
(1) Suppose g : A B and f : B C are functions. The composite f g is a f
TAKE-HOME CLASS QUIZ: DUE FRIDAY MAY 3: MATRIX MULTIPLICATION
AND INVERSION
MATH 196, SECTION 59 (VIPUL NAIK)
Your name (print clearly in capital letters):
PLEASE FEEL FREE TO DISCUSS ALL QUESTIONS.
(1) How many arithmetic operations are needed for naive
TAKE-HOME CLASS QUIZ: DUE FRIDAY APRIL 26: GEOMETRY OF LINEAR
TRANSFORMATIONS
MATH 196, SECTION 59 (VIPUL NAIK)
Your name (print clearly in capital letters):
PLEASE FEEL FREE TO DISCUSS ALL QUESTIONS.
For the questions here, please use the following termi
TAKE-HOME CLASS QUIZ: DUE FRIDAY JUNE 7 (OR LATER): SIMILARITY OF
LINEAR TRANSFORMATIONS
MATH 196, SECTION 59 (VIPUL NAIK)
Your name (print clearly in capital letters):
PLEASE FEEL FREE TO DISCUSS ALL QUESTIONS.
Note: The ocial deadline is Friday June 7.
TAKE-HOME CLASS QUIZ: DUE MONDAY JUNE 3: SUBSPACE, BASIS,
DIMENSION, COORDINATES, AND ABSTRACT SPACES
MATH 196, SECTION 59 (VIPUL NAIK)
Your name (print clearly in capital letters):
PLEASE FEEL FREE TO DISCUSS ALL QUESTIONS.
Keep in mind the following fac
REVIEW SHEET FOR MIDTERM 1: ADVANCED
MATH 196, SECTION 59 (VIPUL NAIK)
Please bring a copy (print or readable electronic) of this sheet to the review session.
There is also a basic review sheet that contains executive summaries of the lecture notes. You s
REVIEW SHEET FOR FINAL: BASIC
MATH 196, SECTION 59 (VIPUL NAIK)
The document does not include material that was part of the midterm 1 and midterm 2 review sessions.
Please review these on your own time.
You are expected to review this on your own time. We