Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 1, Problem 19A
Sketch and redimension the plate shown in Figure 1-6. Reduce all proper fractions to lowest terms. Reduce all improper fractions to lowest terms and express as mixed numbers. All dimensions are in inches.
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1) a) Answer the following questions by circling TRUE or FALSE (No explanation or
work required).
[1 0
0
i) A = 0 2
6
is invertible.
(TRUE FALSE)
LO -4-12]
ii) We can use the transpose of the cofactor matrix to find the inverse of a matrix.
(TRUE FALSE)
=
iii) If A 2, and A is a 5x5 square matrix, |2A] = 64. (TRUE FALSE)
iv) Every vector space must contain two trivial subspaces. (TRUE FALSE)
v) The set of all integers with standard operations is a vector space.
(TRUE FALSE)
b) Write v as a linear combination of the vectors in the set S, if possible, where
v=(1,-4), and S={(1,2),(1,-1)}.
2) a) Solve the following system of linear equations using Cramer's Rule and check
the correctness of your answer.
4xyz
1
2x + 2y + 3z = 10
5x-2y-2z = -1
b) Find the adjoint of the following matrix A. Then use the adjoint to find the inverse
of A if possible, and check the correctness of your answer.
A
=
c) Determine whether the following points are collinear. Why or why not? If not,…
Chapter 1 Solutions
Mathematics For Machine Technology
Ch. 1 - Write the fractional part that each length, A...Ch. 1 - A welded support base is cut into four pieces as...Ch. 1 - The circle in Figure 1-5 is divided into equal...Ch. 1 - The circle in Figure 1-5 is divided into equal...Ch. 1 - Reduce to halves. a. 48 b. 918 c. 100200 d. 121242Ch. 1 - Reduce to halves. a. 2510 b. 1812 c. 12636 d....Ch. 1 - Reduce numbers to lowest terms in Exercises 7 and...Ch. 1 - Reduce numbers to lowest terms in Exercises 7 and...Ch. 1 - Express the fractions in Exercises 9 and 10 as...Ch. 1 - Express the fractions in Exercises 9 and 10 as...
Ch. 1 - In Exercises 11 and 12, express the given...Ch. 1 - In Exercises 11 and 12, express the given...Ch. 1 - Express the mixed numbers in Exercises 13 and 14...Ch. 1 - Express the mixed numbers in Exercises 13 and 14...Ch. 1 - Express the improper fractions in Exercises 15 and...Ch. 1 - Express the improper fractions in Exercises 15 and...Ch. 1 - Express the mixed numbers in Exercises 17 and 18...Ch. 1 - Express the mixed numbers in Exercises 17 and 18...Ch. 1 - Sketch and redimension the plate shown in Figure...
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