201 phys
- System of Linear Equations: Methods of solving Systems of Linear equations (Elimination
methods, Gauss- Jordan …).
- Matrices: (Definitions, Operations on Matrices, Transpose Matrix, the trace…).
The inverse,Elementary row operation method, the determinant, Cramer's rule.
- Vector spaces: Two and Three dimensional vector spaces, Distance in two and Three dimensional spaces. Norms, Dot product, projection, cross product, N-dimensional (linear) spaces: Euclidean spaces, Inner product spaces, Linear Transformations, Eigen values and Eigenvectors problems.
Text book:
H.Anton, Elementary Linear Algebra, 9 th edition, Wiley.(2006)
S.Grossman, Elementary Linear Algebra, 6th edition. Wadsworth.(2006)
Exercises chapter 1
Exercise set 1.1
1, 3(a,b), 4,5.
Exercise set 1.2
1,2,3,4(a,b),5(a), 6(a), 7(b),10(b),12,13(a,b).
14(a,b),17.
Exercise set 1.3
1,2,3(a,b,c),4(d,e,f),5(a,b,i,k),7(a,c,e),8(a),12(a),13(a).
Exercise set 1.4
1(c) , 2(c) ,3(b) , 4(a,c) , 7(b) , 9(b).
Exercise set 1.5
1,2(d) , 3(a) , 5(b,c) , 7(e) , 8(c), 10.
Exercise set 1.6
3 ,5 ,9(a) ,15 ,17 ,21.
Exercise set 1.7
1, 2(a) ,3(a) ,4 ,5 ,7 ,8 ,10(b)
Exercise set 1.8 (11th Edition)
1,5,6,7,8.
Exercises chapter 2
Exercise set 2.1
1,3(c),4,5,17.
Exercise set 2.2
1(a), 2(a,c,d), 3,7,12.
Exercise set 2.3
1(a), 3,4,5,12(a).
15(b)
Exercise set 2.4
9,10,13(a), 17
Chapter 3
Exercise set 3.1
2(a,g,h), 3(a,c,e,f), 5,6(a,e), 8,11(a), 12(a,b).
Exercise set 3.2
1(a,e), 2(a,c), 3(a,c).
Exercise set 3.3
1(a,c), 2(a,c), 3(a,b,c), 4(a,c), 5(a,c), 10, 16(a,b,c), 17(a).
Exercise set 3.4
1(a,b,e), 2(a), 3(a), 4(a), 7, 9, 10(a), 11(a).
Exercise set 3.5
1(a,b), 2(a,b), 3, 4(a), 5(a), 7(a), 9(a), 10(a), 11(a), 39(a), 40(a).
Chapter 5
Exercise set 5.1
2, 5, 8.
Exercise set 5.2
1(a,b,d), 6(a,b), 7(a), 10(a), 12(a,c,e).
Exercise set 5.3
1, 2(a), 3(a), 4(a), 5(a).
Exercise set 5.4
1,2(a,b) ,3(a,c), 5, 7(a,b), 15.
Exercise set 5.5
1, 3(b,c), 6(a,c),7.
2(b), 5(b), 8(a,b) ,9(a,b), 10(a,b) ,11(a), 12(a).
Exercise set 5.6
2(a,d), 3(a,d), 4,5,7,8.
Chapter 6
Exercise set 6.3
17 (a)
Chapter 7
Exercise set 7.1
1(a), 3(a), 9(a) ,10, 11.
Exercise set 7.2
5, 13, 21
Chapter 8.
Exercise set 8.1
1, 13.
Exercise set 8.2
1,2,7(a), 8(a) , 9(a), 10.