1 June 2011
IYTE, Department of Electrical And Electronics Engineering
MATH 265 Basic Linear Algebra Final
Name:
Student No:
Question Number 1a 1b 2a 2b 3a 3b 3c 4a 4b 5a 5b Total
10 10 10 20 5
5
5 10 10 10
5
100
Your grade
1) Let L be a linear transforma
04.May.2011
IYTE, Department of Electrical And Electronics Engineering
MATH 265 Basic Linear Algebra Midterm 2
SOLUTION KEY
Question Number
1
2
10 10
3a 3b 4a 4b
5
5
6
10 15 10 25 15
TOTAL
100
Your grade
1) A square matrix X is said to be involutive if X
30.03.2011
IYTE, Department of Electrical And Electronics Engineering
MATH 265 Basic Linear Algebra Midterm 1
SOLUTION KEY
1) Take the system
x + 2y 3z = 4
3x y + 5z = 2
4x + y + (a2 2)z = a + 4
1 2
3
4
3 1
5
2
4 1 (a2 2) a + 4
Replace R2 with R2 3R1 ,