Answer:
Option (c) is correct.
Add a constant to a row does not involves while solving a system of equations using matrix.
Step-by-step explanation:
Given : solving a system of equations.
W have to choose from given options that can not be used on a matrix when solving a system of equations.
Since solving the system using matrix method involve
1) adding of rows,
2) multiplying a row by a constant.
3) interchange rows
But add a constant to a row does not involves while solving a system of equations using matrix.
Thus, Option (c) is correct.
For a system of equations to have no real solution, the lines of the equations must be parallel to each other. The correct option is c
Inconsistent System
For a system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.
A matrix form can be used to solve the system of equations, and out of the given three operations, the third operation of adding a constant to a row can not be used. The reason is that in this way the value of the constant will change, which will eventually change the position of the entire line on the graph giving the wrong output solution.
Hence, the correct option is c.
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