Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Textbook Question
Chapter 8, Problem 30A
Write these words as numbers.
30. eighty-four ten-thousandths
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Please help solve the following whilst showing all working out. Is part of exam revision questions but no solution is given
please help me with this question with working out thanks
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of 2
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1) a) Find a matrix P such that PT AP orthogonally diagonalizes the following matrix
A.
= [{² 1]
A =
b) Verify that PT AP gives the correct diagonal form.
2
01
-2
3
2) Given the following matrices A =
-1
0
1] an
and B =
0
1
-3
2
find the following matrices:
a) (AB) b) (BA)T
3) Find the inverse of the following matrix A using Gauss-Jordan elimination or
adjoint of the matrix and check the correctness of your answer (Hint: AA¯¹ = I).
[1 1 1
A = 3 5 4
L3 6 5
4) Solve the following system of linear equations using any one of Cramer's Rule,
Gaussian Elimination, Gauss-Jordan Elimination or Inverse Matrix methods and
check the correctness of your answer.
4x-y-z=1
2x + 2y + 3z = 10
5x-2y-2z = -1
5) a) Describe the zero vector and the additive inverse of a vector in the vector
space, M3,3.
b) Determine if the following set S is a subspace of M3,3 with the standard
operations. Show all appropriate supporting work.
Chapter 8 Solutions
Mathematics for Machine Technology
Ch. 8 - Prob. 1ACh. 8 - Use Figure 8-4 to answer exercises 1-6. All...Ch. 8 - Prob. 3ACh. 8 - Prob. 4ACh. 8 - Prob. 5ACh. 8 - Prob. 6ACh. 8 - Prob. 7ACh. 8 - Prob. 8ACh. 8 - Prob. 9ACh. 8 - In each of the following exercises, the value on...
Ch. 8 - In each of the following exercises, the value on...Ch. 8 - In each of the following exercises, the value on...Ch. 8 - In each of the following exercises, the value on...Ch. 8 - In each of the following exercises, the value on...Ch. 8 - In each of the following exercises, the value on...Ch. 8 - In each of the following exercises, the value on...Ch. 8 - In each of the following exercises, the value on...Ch. 8 - In each of the following exercises, the value on...Ch. 8 - In each of the following exercises, the value on...Ch. 8 - Write these numbers as words. 20. 0.064Ch. 8 - Write these numbers as words. 21. 0.007Ch. 8 - Write these numbers as words. 22. 0.132Ch. 8 - Write these numbers as words. 23. 0.0035Ch. 8 - Write these numbers as words. 24. 0.108Ch. 8 - Write these numbers as words. 25. 1.5Ch. 8 - Write these numbers as words. 26. 10.37Ch. 8 - Write these numbers as words. 27. 16.0007Ch. 8 - Write these numbers as words. 28. 4.0012Ch. 8 - Write these numbers as words. 29. 13.103Ch. 8 - Write these words as numbers. 30. eighty-four...Ch. 8 - Write these words as numbers. 31. three tenthsCh. 8 - Write these words as numbers. 32. forty-three and...Ch. 8 - Write these words as numbers. 33. four and five...Ch. 8 - Write these words as numbers. 34. thirty-five...Ch. 8 - Write these words as numbers. 35. ten and two...Ch. 8 - Write these words as numbers. 36. five and one...Ch. 8 - Write these words as numbers. 37. twenty and...Ch. 8 - Write these numbers as words using the alternative...Ch. 8 - Write these numbers as words using the alternative...Ch. 8 - Write these numbers as words using the alternative...Ch. 8 - Write these numbers as words using the alternative...Ch. 8 - Write these numbers as words using the alternative...Ch. 8 - Write these numbers as words using the alternative...Ch. 8 - Write these numbers as words using the alternative...Ch. 8 - Write these numbers as words using the alternative...Ch. 8 - Write these words as numbers. 46. forty-three and...Ch. 8 - Write these words as numbers. 47. fourteen and...Ch. 8 - Write these words as numbers. 48. thirty-seven and...Ch. 8 - Write these words as numbers. 49. one hundred six...Ch. 8 - Write these words as numbers. 50. seventy-six...Ch. 8 - Write these words as numbers. 51. four and one...Ch. 8 - Each of the following common fractions has a...Ch. 8 - Each of the following common fractions has a...Ch. 8 - Each of the following common fractions has a...Ch. 8 - Each of the following common fractions has a...Ch. 8 - Each of the following common fractions has a...Ch. 8 - Each of the following common fractions has a...Ch. 8 - Each of the following common fractions has a...Ch. 8 - Each of the following common fractions has a...Ch. 8 - Each of the following common fractions has a...
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