Solve using matrices:
To calculate: The solution of the linear equation by using matrices:
Answer to Problem 1DE
Solution:
The solution of the linear equation
Explanation of Solution
Given information:
The set of linear equation:
Formula Used:
Steps to convert the linear equation of two variable in matrix form:
Step 1: A set of linear equation should be written in the form of matrix where x coefficients should be written in first column, y coefficients should be written in second column and constants must be written in third column. Separate constants from x and y coefficients by dash line.
Step 2: The main goal is to transform the above matrix into below form:
Step 3: verified the results.
Calculation:
Consider the linear equation is,
The above linear equation in matrix form can be written as,
Multiply row 1 by
The set of linear equations become,
Add
The set of linear equations become,
Multiply row 2 by
The set of linear equations become,
Add
The set of linear equations become,
Reinsert the variables to have a set of linear equations,
The solution is
To check the answer:
Now, substitute the value
Therefore,
Solution verified.
Hence, the solution of the linear equation
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Chapter C Solutions
Intermediate Algebra (13th Edition)
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning