a.
To write: system of equations as a matrix equation.
a.
Answer to Problem 62E
The matrix equation of given system of equations are
Explanation of Solution
Given:
The system of equations is :
Concept Used:
A system of equation
can be written in
Where
Calculation:
The system of equations is
Conclusion:
The matrix equation of given system of equations is
b.
To find: use Gauss-Jordan elimination to solve for matrix
b.
Answer to Problem 62E
The matrix
Explanation of Solution
Given:
The system of equations is :
Concept Used:
Gauss - Jordan elimination method is used to solve system of linear equation by converting augmented matrix in reduced row echelon form.
Calculation:
The system of equations is :
Augmented matrix :
Now reducing the augmented matrix in reduced row echelon form.
Now, system of linear equation according to reduced row echelon form
Conclusion:
Therefore, the matrix
c.
c.
Explanation of Solution
Given:
The system of equations is :
Graph:
Interpretation:
From graph it is clear that two lines intersect at point
Therefore, it is verified that the system of equation
Has solution
Therefore, the matrix
Chapter 7 Solutions
Precalculus with Limits: A Graphing Approach
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