a.
To Write: the Matrix equation of
a.
Answer to Problem 5CRT
Explanation of Solution
Given information:
Concept Used:
On converting the given equations to matrix form we can obtain the equation.
Calculation:
Conclusion:
The required matrix equation is
b.
To Find:
b.
Answer to Problem 5CRT
Explanation of Solution
Given information:
Concept Used:
Now, adjoint matrix is found by reversing (or) replacing the values in principal diagonal matrix among then also, by changing the sign of other diagonal elements.
Also, determinant of matrix id found by cross multiplying the elements of principal diagonal and other diagonal and subtracting them.
Calculation:
And
So,
Conclusion:
Hence,
c.
To Solve: Matrix equation by multiplying
c.
Answer to Problem 5CRT
Explanation of Solution
Given information:
Concept Used:
By matrix inversion method
Calculation:
Let find solution of given equations using multiplying
Conclusion:
So, solutions are
d.
To Solve: Matrix equation using Cramer’s rule.
d.
Answer to Problem 5CRT
Explanation of Solution
Given information:
Solve them using crammer’s method
Concept Used:
Calculation:
From b we get
Now, let
Also;
(from b)
Now, solutions;
Conclusion:
Hence, solutions from (b) and (d) are same
i.e.
e.
To estimate: The value of the function.
e.
Answer to Problem 5CRT
The value of function is
Explanation of Solution
Given information:
Graph of
Calculation:
So,
Conclusion:
From graph it can be observed at
Chapter 11 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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