To find: The value of A at which the system of equations is inconsistent.
Answer to Problem 54RE
The system of the equation is inconsistent for all the values of the
Explanation of Solution
Given information:
The system of the equations is
Calculation:
Consider the system of the equations as
The system of equation is inconsistent if the value of the determinant formed by the coefficients of the variables in the equation is zero. The determinant from the equation can be obtained and the determined as follows.
The value of the determinant of the coefficient of the variables in the given system of equations is zero for all values of
Therefore, the system of the equation is inconsistent for all the values of the
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