7. A network of irrigation ditches is shown in Figure 2.20, with flows measured in thousands of liters per day. 150 150 с Figure 2.20 100 f2 B A fs D 200
7. A network of irrigation ditches is shown in Figure 2.20, with flows measured in thousands of liters per day. 150 150 с Figure 2.20 100 f2 B A fs D 200
7. A network of irrigation ditches is shown in Figure 2.20, with flows measured in thousands of liters per day. 150 150 с Figure 2.20 100 f2 B A fs D 200
Use linear algebra and network analysis when solving all parts of the question.
Transcribed Image Text:17. A network of irrigation ditches is shown in Figure 2.20,
with flows measured in thousands of liters per day.
150
150
с
Figure 2.20
100
$2/1
B
fs
D
200
Transcribed Image Text:(a) Set up and solve a system of linear equations to find
the possible flows f... fs.
(b) Suppose DC is closed. What range of flow will need
to be maintained through DB?
(c) From Figure 2.20 it is clear that DB cannot be closed.
(Why not?) How does your solution in part (a) show
this?
(d) From your solution in part (a), determine the min-
imum and maximum flows through DB.
Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
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