1. Given: A= 1 B = 2 1 C = 2 1 4 4 7. 4 6. 1 6 2 4 2. D = 2. E = 6. F = 1 2. u = Evaluate if possible: a. (Fv)T b. A (D+E) c. (2Du v)T d. (BC)T e.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
1. Given: A=
1
B =
1
2
1
C =
1
4
4
7
4.
1
6.
2 4
D =
2.
E =
6.
1
4
2.
3.
u =
Evaluate if possible:
a. (Fv)T
b. A (D+E)
c. (2Du v)T
d. (BC)T
e.
Transcribed Image Text:1. Given: A= 1 B = 1 2 1 C = 1 4 4 7 4. 1 6. 2 4 D = 2. E = 6. 1 4 2. 3. u = Evaluate if possible: a. (Fv)T b. A (D+E) c. (2Du v)T d. (BC)T e.
2. Three different types of computers need varyng amounts of four different types of integrated
circuits. The following matrix A gives the number of each circuits needed by each computer.
Circuits
1
2
3
4
2
1.
A = Computers
B
1
2.
13
2
2.
Let d = (10, 20, 30) be the computer demand vector (how many of each type of computer
is needed). Let p = ( $2, $5, $1, $10) be the price vector for the circuits (the cost of each
type of circuit). Write an expression in terms of A, d. p for the total cost of the circuits needed
to produce the set of computers in demand. Indicate whether the matrix-vector product occurs
and where the vector product occurs. Compute this total cost.
Transcribed Image Text:2. Three different types of computers need varyng amounts of four different types of integrated circuits. The following matrix A gives the number of each circuits needed by each computer. Circuits 1 2 3 4 2 1. A = Computers B 1 2. 13 2 2. Let d = (10, 20, 30) be the computer demand vector (how many of each type of computer is needed). Let p = ( $2, $5, $1, $10) be the price vector for the circuits (the cost of each type of circuit). Write an expression in terms of A, d. p for the total cost of the circuits needed to produce the set of computers in demand. Indicate whether the matrix-vector product occurs and where the vector product occurs. Compute this total cost.
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