-------------------------------------------------------------------------- Last update: 12/06/99, 20:05 -------------------------------------------- Math. 314 - Homework Assignments -------------------------------------------- Assignments based on S.J. Leon, LINEAR ALGEBRA WITH APPLICATIONS, 5th Ed. -------------------------------------------------------------------------- 1( 8/26) Sec. 1.1, p.11 2d, 6(a,e*,f,h*), 7(a,b), 8(a,b)* 2( 8/28) Sec. 1.2 Row echelon form; examples from traffic flow, circuits. p.26 5(e*,f,g*,j), 6(a,d*), 11, 12* -------------------------------------------------------------------------- ----------- Quiz 0 ( 9/ 2) 3( 9/ 2) Sec. 1.3 Matrix algebra p.53 2(abcdef), 3, 4(abc), 7(ab), 10*, 13(abc)*, 14(abc), 23(ab)* p.56 29(abc)*, 30(abc) 4( 9/ 4) Sec. 1.4 Elementary matrices p.65 3(abc), 4(abc)*, 5(abc), 6(ab), 7(ac)*, 7(bd) -------------------------------------------------------------------------- ----------- Quiz 1 ( 9/ 9) Sec. 1.1, 1.2 5( 9/ 9) Sec. 1.4 Elementary matrices p.66 8(a*), b(i*,ii*,iii), 9(a,e,g, b*, f*, h*) 6( 9/11) Sec. 2.1 Determinant of a matrix Sec. 2.2 Properties of determinants p.97 2*, 3 (bdf)*,(ace), 4*, 10, 11 ++++++ MATLAB Project 1 (due 9/23) p.77(2)*, p.80(6)*, p.106(5)* -------------------------------------------------------------------------- ----------- Quiz 2 ( 9/16) on Sec. 1.3, 1.4 7( 9/16) Sec. 3.1 Vector spaces; definitions and examples p.114 1*, 2, 15, 16* Sec. 3.2 Subspaces p.123 2* 8( 9/18) Sec. 3.2 Subspaces p.123 4(a,d)*(b,c), 11(a*,b) ,12, 14(a,c)*(b,d) 3.3 Linear independence p.135 2(ac)(bde)*,4(ac)*(b), 5(ab) -------------------------------------------------------------------------- ----------- Quiz 2 ( 9/23) on Sec. 1.3, 1.4, 2.2 9( 9/23) 3.3 Linear independence p.135 14*, 15, 16 Sec. 3.4 Basis and dimension p.141 3*, 4, 5, 10*, 14(ab)*(cd) 10( 9/25) Review 3.1--3.4 p.142(7*),p.136(6a,b*,c*,d),p.135(2(ac)*,(bde)), p.124(10(ace)*,(bd)) -------------------------------------------------------------------------- ----------- Quiz 3 ( 9/30) on Sec. 3.1, 3.2, 3.3 11( 9/30) Sec. 3.5 Change of basis p.152 1(a*,b), 5*, 6, 2(a*,b), 7*, 8, 9* 12(10/ 2) Sec. 3.6 Row space - column space p.159 1(a,b*,c), 2(a,b*,c*) -------------------------------------------------------------------------- ----------- Quiz 4 (10/ 7) on Sec. 3.2, 3.3, 3.4 13(10/ 7) Sec. 3.6 Row space - column space p.159 4(a,d*,f), 7(a*,b*), 9(a*,b*), 15(a,b), 16(a,b) 14(10/ 9) Sec. 4.1 Linear transformations p.172 1(a*,b*,c), 4*, 5(a,c), 8(a)(bc)* p.184 1(a*,b*,c), 2(a*,c), 3(b,c*) -------------------------------------------------------------------------- 15(10/14) Sec. 4.2 Matrices and transformations p.184 (due: 10/21) 4(a,b*),5(a*,b,c,d*),6*,8,9*,11*,12(a*,b),13* MATLAB Project 2 (due 11/ 4) p.161(1)*, p.163(3)*, p.194(1)* **(10/16-17) Fall Break -------------------------------------------------------------------------- ----------- Quiz 5 (10/21) on Sec. 3.5, 3.6 16(10/21) Review p.184 10(a,b*,c*,d), 16(a*,b*,c) 17(10/23) Sec. 5.1 Scalar product p.206 2(a*,d), 3(c*,d), 7(a,b*) -------------------------------------------------------------------------- ----------- Quiz 6 (10/28) Sec. 4.1, 4.2 18(10/28) Sec. 5.2 Orthogonal subspaces p.215 1(a*,b,c,d*), 2*, 4, 5*, 6, 13(a*,b*,c,d) 19(10/30) Sec. 5.4 Least squares p.237 1(b,c*), 2* (for problem 1c), 3(a,b*), 4(a,b*) -------------------------------------------------------------------------- ----------- Quiz 7 (11/ 4) 5.1, 5.2 20(11/ 4) Sec. 5.4 Least squares Sec. 5.3 Inner product spaces p.224 1*, 2, 3*, 4(a*,c), 7(b*,c), 13, 14, 15(a*,b) 21(11/ 6) Sec. 5.3 Inner product spaces p.224 16*, 17*, 24*, 28*, 29(a,b*) -------------------------------------------------------------------------- ----------- Quiz 8 (11/11) 5.3 22(11/11) Sec. 5.5 Orthonormal sets p.254 2*, 3*, 7*, 8, 13*, 18*, 19 23(11/13) Sec. 5.5 Orthonormal sets p.256 24*, 26*, 27* -------------------------------------------------------------------------- ----------- Quiz 9 (11/18) 5.3,5.4 24(11/18) Sec. 5.6 Gram-Schmidt Orthogonalization p.265 1(a*,b), 2(a*,b), 5*, 6, 7*, 8 25(11/20) Sec. 6.1 Eigenvalues and eigenvectors p.289 1(a*,b,f*,g*, h*, i, j*), 2, 10*, 13, 22* -------------------------------------------------------------------------- 26(11/25) Sec. 6.3 Diagonalization p.316 (due 12/ 2) 1(a*,b,c,d*), 2(a*,b,c,d*), 23, 24(a*,b,c*) Matlab Project III (due 12/9) p. 275 (3), p. 277 (5) **(11/27-28) Thanksgiving Break -------------------------------------------------------------------------- 27(12/ 2) Sec. 6.4 Hermitian matrices p.328, 2*, 4(a*,b,c*,d,e*,f), 5(a,b*,c*,d*,g) 28(12/ 4) Sec. 7.6 The singular value decomposition -------------------------------------------------------------------------- ----------- Quiz 10 (12/9) 6.1, 6.3 29(12/ 9) Review 30(12/11) Review -------------------------------------------------------------------------- ----------- Final Examination (Tuesday 12/16, 7:30-9:30 in MH 221) --------------------------------------------------------------------------