Provide Solution For R. D. Sharma Maths Class 12 Chapter 5 determinants Exercise 5.4 Question 27 Maths Textbook Solution.
Hint: Use Cramer’s rule for system of linear equations.
|A| = 0 System of linear equations have infinite number of solutions.
Now for x, the x column is replaced with constant column i.e.
If we are solving for y, the y column is replaced with constant column i.e.
Let y = k, then we have:
are the infinitive solutions of the given system.
Concept: Solving matrix of order 2x2 by Cramer’s rule.
Note: When D = 0, there is either no solution or infinite solutions.