Math 231 Linear Algebra

Spring 2020

 

Homework



Homework 1 is due on Friday January 24, 2020:
It consists of the following problems:
From Solving Systems of Linear Equations:
Reading Questions: 1,2
Exercises: C30, C50, C52.
From Reduced Row-Echelon Form:
Reading Questions: 1,2,3
Exercises: C12, C30, M50, T11.


Homework 2 is due on Friday January 31, 2020:
It consists of the following problems:
From Types of Solution Sets:
Exercises: C22, C27, M54, M70, T41.
From Homogeneous Systems of Equations:
Reading Questions: 1,2.
Exercises: C21, C26, C30, M50, M51, T20.


Homework 3 is due on Monday February 10, 2020:
It consists of the following problems:
From Nonsingular Matrices:
Exercises: C31, C50, T12.
From Vector Operations:
Exercises: C12, C15.
From Linear Combinations:
Reading Questions: 1,2,3.
Exercises: C41, M10.
From Spanning Sets:
Reading Questions: 1,2,3.
Exercises: C41, C44, C60, M12, T10.


Homework 4 is due on Monday February 17, 2020:
It consists of the following problems:
From Linear Independence:
Reading Questions: 2, 3.
Exercises: C22, C30, M20, M50, T12 .
From Linear Dependence and Spans:
Exercises: C20, M10, T40.
From Orthogonality:
Reading Questions: 1.
Exercises: C21, M60, T20, T30.


Homework 5 is due on Friday February 28, 2020:
It consists of the following problems:
From Matrix Operations:
Exercises: C10, C14, T17, T31, T34.
From Matrix Multiplication:
Exercises: C20, C24, C31, T22, T35, T50.
From Matrix Inverses and Systems of Linear Equations:
Reading Questions: 1, 2.
Exercises: C16, C21, C28, C40.


Homework 6 is due on Wednesday March 25, 2020:
It consists of the following problems:
From Matrix Inverses and Nonsingular Matrices:
Reading Questions: 1, 3.
Exercises: C40, M10, M80, T10, T25.
From Column and Row Spaces:
Reading Questions: 1.
Exercises: C31, C33, C34, M10, T41.
From Four Subsets:
Reading Questions: 2.
Exercises: C25, C61.


Homework 7 is due on Monday March 30, 2020:
It consists of the following problems:
From Vector Spaces:
Reading Questions: 2.
Exercises: M10, M12, M15, T23.
From Subspaces:
Reading Questions: 1, 2.
Exercises: C15, C20, T20, T30.
From Linear Independence and Spanning Sets:
Reading Questions: 1, 3.
Exercises: C20, C21, C22, C26, T50.


Homework 8 is due on Monday April 5, 2020:
It consists of the following problems:
From Bases:
Reading Questions: 1, 2, 3.
Exercises: C10, C11, C13, C80.
From Dimension:
Reading Questions: 1, 2, 3.
Exercises: C21, C23, C35, C37, M20.
From Properties of Dimension:
Reading Questions: 3.
Exercises: C40, T10, T15, T60.


Homework 8 is due on Friday April 24, 2020:
It consists of the following problems:
From Determinant of a Matrix:
Reading Questions: 1, 2, 3.
Exercises: C23, C27, M10, M15.
From Properties of Determinants of Matrices:
Reading Questions: 1.
Exercises: M30, T20.


Homework 10 is due on Friday April 24, 2020:
It consists of the following problems:
From Eigenvalues and Eigenvectors:
Reading Questions: 1, 2, 3.
Exercises: C10, C19, C21, C27.
From Properties of Eigenvalues and Eigenvectors:
Reading Questions: 1, 2.
Exercises: T10, T20.
From Similarity and Diagonalization:
Reading Questions: 3.
Exercises: C20, C22, T17.