Name (PRINT): Wang
(Last Name)
Xiangsheng
Student id:
(Given Name)
Mark:
Math 1540M 3.00 W2012 Introductory Mathematics for Economists II
Second in-class midterm exam (total 30 points)
February 29 (Wednesday) 10:30-11:15
Instructions:
1. Please write down
Name (PRINT): Wang
(Last Name)
Xiangsheng
Student id:
(Given Name)
Mark:
Math 1540M 3.00 W2012 Introductory Mathematics for Economists II
First in-class midterm exam (total 30 points)
January 25 (Wednesday) 10:30-11:15
Instructions:
1. Please write down y
Tips for checking a reduced matrix
1. Check if the zero-rows are at the bottom.
1 0 0
0 0 0
0 1 0
The matrix can be reduced by interchanging row 2 and row 3:
1 0 0
1 0 0
R2 R3
0 0 0 0 1 0
0 1 0
0 0 0
Reduced matrix
First
Previous
Next
Last
1
Tips for ch
Solving systems by reducing matrices
Linear system
A11X1 + A12X2 + + A1nXn = B1
A X + A X + + A X = B
21 1
22 2
2n n
2
.
.
Am1X1 + Am2X2 + + AmnXn = Bm
Matrix equation AX = B.
Reduce the augmented coecient matrix [A | B] to [A | B].
Solve the simpli