Assignment 2
Due on Monday, September 21, 2015, in class
This assignment includes 5 problems, 40 points in total.
Please provide the necessary details of your computation and justify your
answer.
Problem 1(15 points)
Solve the following systems of linear

Solution to Midterm Exam for 21-240, Fall 2015
Wednesday, October 14, 2015, 11:30am - 12:20pm
Problem 1(5 points)
Solve the following system of linear equations
x1 + x2 + x3
2x1 + 2x2 + 3x3
3x1 + 3x2 + 3x3
We perform elementary
1
2
3
or show it has no so

Assignment 5
Due on Wednesday, October 28, 2015, in class
This assignment includes 4 problems, 40 points in total.
Please provide necessary details of your computation and justify your answer.
Problem 1(10 points)
Compute the determinant of the following

Assignment 8
Due on Monday, December 7, 2015, in class
This assignment includes 5 problems, 40 points in total.
Please provide necessary details of computation and justify your answer.
Problem 1(5 points)
Determine whether the following mappings are inner

Assignment 7
Due on Friday, November 20, 2015, in class
This assignment includes 3 problems, 40 points in total.
Please provide necessary details of computation and justify your answer.
Problem 1(10 points)
Determine whether the following mappings are lin

Assignment 6
Due on Friday, November 6, 2015, in class
This assignment includes 5 problems, 40 points in total. Please provide
necessary details of computation and justify your answer.
Problem 1(5 points)
Try to determine whether the following sets of vec

Assignment 4
Due on Wednesday, October 7, 2015, in class
This assignment includes 5 problems, 40 points in total.
Please provide the necessary details of your computation and justify your
answer.
Problem 1(10 points)
Assume
3 1
A= 2 1
1 2
1
2 ,
3
1
1
B= 2

Assignment 3
Due on Wednesday, September 30, 2015, in class
This assignment includes 4 problems, 40 points in total.
Please provide the necessary details of your computation and justify your
answer.
Problem 1(10 points)
Determine whether the following set

Assignment 1
Due on Wednesday, September 9, 2015, in class
This assignment includes 5 problems, 40 points in total.
Please provide the necessary details of your computation and justify your
answer.
Problem 1(10 points)
Please provide a concrete example of