Part 2: Consider the partial order with domain {3, 5, 6, 7, 10, 14, 20, 30, 60} and with z < y if z evenly divides y. Select the correct Hasse diagram for the partial order. 14 10 (iii) (i) Figure 4: A Hasse diagram shows a set of elements, 3, 5, 6, 7, 10, 14, 20, 30, and 60. The elements are arranged as follows: 3 at the bottom; 6 is placed vertically above 3; 5 is placed to the right and little above 3; 10 is placed vertically above 5; 7 is placed to the right of 5 but little above 10; 30, 20, 10, and 60 are placed in a diamond together, and 60 is placed at the top. The vertical line segments between the elements are as follows: 3 and 6, 6 and 30, 5 and 10, and 7 and 14. The inclined line segments between the elements are as follows: 10 and 30, 10 and 20, 30 and 60, and 20 and 60. Figure 2: A Hasse diagram shous a set of elements, 3, 5, 6, 7, 10, 14, 20, 30, and 60. The elements are arranged as follows: 3, 6, and 30 are arranged vertically one above another, connected by vertical line segments; 5 and 20 are arranged vertically one above another to the right of 3 and 6, respectively, connected by a vertical line segment; 10 is placed inclined up to the right of 20, horizontally aligned with 30, and 60 is placed above 30 and 10, vertically aligned with 20; at the top; inclined line segments connect 10 and 30, 30 and 60, 60 and 20, 20 and 5, 5 and 10, and 5 and 30 to form a diamond shape; and 7 and 14 are placed to the right of 5 and 10, respectively, connected by a vertical line segment.
Part 2: Consider the partial order with domain {3, 5, 6, 7, 10, 14, 20, 30, 60} and with z < y if z evenly divides y. Select the correct Hasse diagram for the partial order. 14 10 (iii) (i) Figure 4: A Hasse diagram shows a set of elements, 3, 5, 6, 7, 10, 14, 20, 30, and 60. The elements are arranged as follows: 3 at the bottom; 6 is placed vertically above 3; 5 is placed to the right and little above 3; 10 is placed vertically above 5; 7 is placed to the right of 5 but little above 10; 30, 20, 10, and 60 are placed in a diamond together, and 60 is placed at the top. The vertical line segments between the elements are as follows: 3 and 6, 6 and 30, 5 and 10, and 7 and 14. The inclined line segments between the elements are as follows: 10 and 30, 10 and 20, 30 and 60, and 20 and 60. Figure 2: A Hasse diagram shous a set of elements, 3, 5, 6, 7, 10, 14, 20, 30, and 60. The elements are arranged as follows: 3, 6, and 30 are arranged vertically one above another, connected by vertical line segments; 5 and 20 are arranged vertically one above another to the right of 3 and 6, respectively, connected by a vertical line segment; 10 is placed inclined up to the right of 20, horizontally aligned with 30, and 60 is placed above 30 and 10, vertically aligned with 20; at the top; inclined line segments connect 10 and 30, 30 and 60, 60 and 20, 20 and 5, 5 and 10, and 5 and 30 to form a diamond shape; and 7 and 14 are placed to the right of 5 and 10, respectively, connected by a vertical line segment.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 24EQ: Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry...
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Transcribed Image Text:Part 2: Consider the partial order with domain {3, 5, 6, 7, 10, 14, 20, 30, 60} and with z < y if z
evenly divides y. Select the correct Hasse diagram for the partial order.
14
10
(iii)
(i)
Figure 4: A Hasse diagram shows a set of elements, 3, 5, 6, 7, 10, 14, 20, 30, and 60.
The elements are arranged as follows: 3 at the bottom; 6 is placed vertically above 3; 5 is
placed to the right and little above 3; 10 is placed vertically above 5; 7 is placed to the right of
5 but little above 10; 30, 20, 10, and 60 are placed in a diamond together, and 60 is placed at
the top. The vertical line segments between the elements are as follows: 3 and 6, 6 and 30, 5
and 10, and 7 and 14. The inclined line segments between the elements are as follows: 10 and
30, 10 and 20, 30 and 60, and 20 and 60.
Figure 2: A Hasse diagram shous a set of elements, 3, 5, 6, 7, 10, 14, 20, 30, and 60.
The elements are arranged as follows: 3, 6, and 30 are arranged vertically one above another,
connected by vertical line segments; 5 and 20 are arranged vertically one above another to the
right of 3 and 6, respectively, connected by a vertical line segment; 10 is placed inclined up
to the right of 20, horizontally aligned with 30, and 60 is placed above 30 and 10, vertically
aligned with 20; at the top; inclined line segments connect 10 and 30, 30 and 60, 60 and 20,
20 and 5, 5 and 10, and 5 and 30 to form a diamond shape; and 7 and 14 are placed to the
right of 5 and 10, respectively, connected by a vertical line segment.
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