Math 375 Multi-Variable Calculus & Linear Algebra
Homework
Homework 1 due Wednesday Sept. 9
Homework 2 due Wednesday Sept. 16
Ch 1.5 4, 5, 13, 22, 23, 30, Read Theorem 1.3 and prove part d) and e)
Ch 1.10 3, 7, 12 - Do not compute dimension
Homework 3 due Wednesday Sept. 23
Ch 1.10 22, 23bch, 24
Homework 4 due MONDAY Sept. 28
For these problems you will need to know the definitions of an inner product, the norm of a vector, the angle between two vectors, and orthogonal vectors.
Ch 1.13 1ac, 3,7,8,12ab,16a
Homework 5 due Wednesday Oct. 7
Homework 6 due Wednesday Oct. 14
Ch 1.17 2a, 4, 6, 9(See Example 1 in 1.16).
Ch 2.4: 2, 6, 12, 25, 26, 30
Homework 7 due Wednesday Oct.21
Ch 2.8: 4, 8, 22, 23, 27,30.
Ch 2.12: 2(a), 3(a,b), 5, 8, 20
Homework 8 due Wednesday Oct. 28
Ch 2.16: 2, 3(a), 6, 7, 8, 9, 10.
Ch 2.20: 1, 2, 10, 11, 12, 15.
Homework 9 due Wednesday Nov. 4
Ch 2.21: 4, 7, 8, 9.
Ch 3.6: 2(a), 3(a), 4(b), 5, 9, 10
Ch 3.11: 2, 3, 4, 5, 6 just state.
Homework 10 Due Monday Nov. 9 (NOT TO HAND IN) Solutions will be available
Ch 4.4: 1, 2, 4, 6, 11, 12.
Ch 4.8: 1(d),3, 7(a), 8(a), 10, 11, 13, 14(c)
Ch 4.10: 1, 4(a), 6, 7(b), 8(c).
Homework 11 Due Wednesday Nov. 18
Homework 12 Due Wednesday Dec. 2
Ch 6.3: 1, 3, 7, 10, 13(a,b,c).
Ch 6.9: 1, 5, 9, 16, 17.
Ch 6.15: 1, 3, 9, 10, 11, 13.
Homework 13 Due Wednesday Dec. 9
Ch 7.4: 2(b)(c), 3 (b), 7, 9, 10, 12, (also use 12 to prove the formula for e^A for diagonalizable matrices).
Ch 7.12: 1, 5 (a), 13.
Ch 7.15: 2 (hint: diagonalize) , 8.
Ch 7.17: 2.
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