Numerical Methods For Engineers, 7 Ed
7th Edition
ISBN: 9789352602131
Author: Canale Chapra
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 12, Problem 24P
Electrical Engineering
Perform the same computation as in Sec. 12.3, but for the circuit depicted in Fig. 12.24.
FIGURE P12.24
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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
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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
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b) Determine if the following set S is a subspace of M3,3 with the standard
operations. Show all appropriate supporting work.
Chapter 12 Solutions
Numerical Methods For Engineers, 7 Ed
Ch. 12 - Chemical/Bio Engineering
12.1 Perform the same...Ch. 12 - Chemical/Bio Engineering If the input to reactor 3...Ch. 12 - Chemical/Bio Engineering Because the system shown...Ch. 12 - Chemical/Bio Engineering
12.4 Recompute the...Ch. 12 - Chemical/Bio Engineering Solve the same system as...Ch. 12 - Chemical/Bio Engineering
12.6 Figure P12.6 shows...Ch. 12 - Chemical/Bio Engineering
12.7 Employing the same...Ch. 12 - Chemical/Bio Engineering The Lower Colorado River...Ch. 12 - Chemical/Bio Engineering A stage extraction...Ch. 12 - Chemical/Bio Engineering
12.10 An irreversible,...
Ch. 12 - Chemical/Bio Engineering
12.11 A peristaltic pump...Ch. 12 - Chemical/Bio Engineering
12.12 Figure P12.12...Ch. 12 - Civil/Environmental Engineering A civil engineer...Ch. 12 - Civil/Environmental Engineering Perform the same...Ch. 12 - Civil/Environmental Engineering
12.15 Perform the...Ch. 12 - Civil/Environmental Engineering Calculate the...Ch. 12 - Civil/Environmental Engineering In the example for...Ch. 12 - Civil/Environmental Engineering Employing the same...Ch. 12 - Civil/Environmental Engineering Solve for the...Ch. 12 - Prob. 20PCh. 12 - Prob. 21PCh. 12 - Civil/Environmental Engineering
12.22 A truss is...Ch. 12 - Electrical Engineering
12.23 Perform the same...Ch. 12 - Electrical Engineering Perform the same...Ch. 12 - Electrical Engineering
12.25 Solve the circuit in...Ch. 12 - Electrical Engineering
12.26 An electrical...Ch. 12 - Electrical Engineering
12.27 Determine the...Ch. 12 - Electrical Engineering Determine the currents for...Ch. 12 - Electrical Engineering The following system of...Ch. 12 - Electrical Engineering
12.30 The following system...Ch. 12 - Mechanical/Aerospace Engineering Perform the same...Ch. 12 - Mechanical/Aerospace Engineering
12.32 Perform the...Ch. 12 - Mechanical/Aerospace Engineering
12.33 Idealized...Ch. 12 - Mechanical/Aerospace Engineering Three blocks are...Ch. 12 - Mechanical/Aerospace Engineering Perform a...Ch. 12 - Mechanical/Aerospace Engineering Perform the same...Ch. 12 - Mechanical/Aerospace Engineering
12.37 Consider...Ch. 12 - Mechanical/Aerospace Engineering The steady-state...Ch. 12 - Mechanical/Aerospace Engineering
12.40 A rod on a...
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