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Concept explainers
Generate random
and
Use MATLAB to compute each of the pairs of numbers that follow. In each case, check whether in first number is equal to the second.
(a)
(b)
(c)
(d)
(e)
(f)
a.
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Calculate the given relationship.
Answer to Problem 1E
The solution of the system is
Explanation of Solution
Given:The matrix has been given
Concept Used:
Given,
Using given information calculate the determinant of the matrix.
Program:
clc clear close all A=round(10*rand(6)); B=round(20*rand(6))-10; a=det(A); b=det(A');
Quarry:
- First, we have defined the given matrix A and B.
- Then Calculate the determinant of the matrices.
b.

Calculate the given relationship.
Answer to Problem 1E
The solution of the system is
Explanation of Solution
Given:The matrix has been given
Concept Used:
Given,
Using given information calculate the determinant of the matrix.
Program:
clc clear close all A=round(10*rand(6)); B=round(20*rand(6))-10; a=det(A); b=det(A'); c=det(A)-det(A'); d=det(A-B); e=det(A)-det(B); f=det(A-B)-(det(A)-det(B)); g=det(A*B); h=det(A)*det(B); i=det(A*B)-det(A)*det(B); j=det(A'*B); k=det(A')*det(B); l=det(A'*B)-det(A')*det(B); m=det(A^-1); n=1/det(A); o=det(A^-1)-1/det(A); p=det(A*B^-1); q=det(A)/det(B); r=det(A*B^-1)-det(A)/det(B);
Quarry:
- First, we have defined the given matrix A and B.
- Then Calculate the determinant of the matrices.
c.

Calculate the given relationship.
Answer to Problem 1E
The solution of the system is
Explanation of Solution
Given:The matrix has been given
Concept Used:
Given,
Using given information calculate the determinant of the matrix.
Program:
clc clear close all A=round(10*rand(6)); B=round(20*rand(6))-10; a=det(A); b=det(A'); c=det(A)-det(A'); d=det(A-B); e=det(A)-det(B); f=det(A-B)-(det(A)-det(B)); g=det(A*B); h=det(A)*det(B); i=det(A*B)-det(A)*det(B); j=det(A'*B); k=det(A')*det(B); l=det(A'*B)-det(A')*det(B); m=det(A^-1); n=1/det(A); o=det(A^-1)-1/det(A); p=det(A*B^-1); q=det(A)/det(B); r=det(A*B^-1)-det(A)/det(B);
Quarry:
- First, we have defined the given matrix A and B.
- Then Calculate the determinant of the matrices.
d.

Calculate the given relationship.
Answer to Problem 1E
The solution of the system is
Explanation of Solution
Given:The matrix has been given
Concept Used:
Given,
Using given information calculate the determinant of the matrix.
Program:
clc clear close all A=round(10*rand(6)); B=round(20*rand(6))-10; a=det(A); b=det(A'); c=det(A)-det(A'); d=det(A-B); e=det(A)-det(B); f=det(A-B)-(det(A)-det(B)); g=det(A*B); h=det(A)*det(B); i=det(A*B)-det(A)*det(B); j=det(A'*B); k=det(A')*det(B); l=det(A'*B)-det(A')*det(B); m=det(A^-1); n=1/det(A); o=det(A^-1)-1/det(A); p=det(A*B^-1); q=det(A)/det(B); r=det(A*B^-1)-det(A)/det(B);
Quarry:
- First, we have defined the given matrix A and B.
- Then Calculate the determinant of the matrices.
e.

Calculate the given relationship.
Answer to Problem 1E
The solution of the system is
Explanation of Solution
Given:The matrix has been given
Concept Used:
Given,
Using given information calculate the determinant of the matrix.
Program:
clc clear close all A=round(10*rand(6)); B=round(20*rand(6))-10; a=det(A); b=det(A'); c=det(A)-det(A'); d=det(A-B); e=det(A)-det(B); f=det(A-B)-(det(A)-det(B)); g=det(A*B); h=det(A)*det(B); i=det(A*B)-det(A)*det(B); j=det(A'*B); k=det(A')*det(B); l=det(A'*B)-det(A')*det(B); m=det(A^-1); n=1/det(A); o=det(A^-1)-1/det(A); p=det(A*B^-1); q=det(A)/det(B); r=det(A*B^-1)-det(A)/det(B);
Quarry:
- First, we have defined the given matrix A and B.
- Then Calculate the determinant of the matrices.
f.

Calculate the given relationship.
Answer to Problem 1E
The solution of the system is
Explanation of Solution
Given:The matrix has been given
Concept Used:
Given,
Using given information calculate the determinant of the matrix.
Program:
clc clear close all A=round(10*rand(6)); B=round(20*rand(6))-10; a=det(A); b=det(A'); c=det(A)-det(A'); d=det(A-B); e=det(A)-det(B); f=det(A-B)-(det(A)-det(B)); g=det(A*B); h=det(A)*det(B); i=det(A*B)-det(A)*det(B); j=det(A'*B); k=det(A')*det(B); l=det(A'*B)-det(A')*det(B); m=det(A^-1); n=1/det(A); o=det(A^-1)-1/det(A); p=det(A*B^-1); q=det(A)/det(B); r=det(A*B^-1)-det(A)/det(B);
Quarry:
- First, we have defined the given matrix A and B.
- Then Calculate the determinant of the matrices.
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