To find: the solution of a system of linear equations if the determinant of the coefficient is
Answer to Problem 57HP
It is not possible to find the inverse matrix and so the system cannot be solved.
Explanation of Solution
Given:
Determinant the coefficient is
Concept used:
When the determinant of the coefficient matrix of a system of linear euqations equal zero it means that at least one equation in the system is scalar multiple of another equation.
Calculation:
When the determinant of the coefficient matrix of a system of linear euqations equal zero it means that at least one equation in the system is scalar multiple of another equation.
It means that the system of the equations are not linearly independent.
Hence, it is not possible to find the inverse matrix and so the system cannot be solved.
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
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