True or False When using Cramer’s Rule, if , then the system of linear equations is inconsistent.
True/False: When using Cramer’s rule, if , then the system of linear equations is inconsistent.
Answer to Problem 4AYU
True.
Explanation of Solution
Given:
When using Cramer’s rule, if , then the system of linear equations is inconsistent.
Calculation:
To find the value of a second order determinant:
Cramer’s rule states that:
The solution of a system of two linear equations and is given by,
Where we have,
and ; provided .
When , the equations are inconsistent or dependent.
By the given concept, we know that if , the given system of equations is inconsistent or dependent.
So the given statement is true.
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