Explain Solution R.D. Sharma Class 12 Chapter 5 deteminants Exercise 5.4 Question 17 maths Textbook Solution.
Hint: Use Cramer’s rule to solve a system of linear equations
First take coefficient of variables x, y and z.
(Taking first row for solving determinant)
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.
If we are solving for z, the z column is replaced with constant column i.e.
By Cramer’s rule,
Concept: Determinant solving of 3 x 3 matrix (Cramer’s rule)
Note: Cramer’s rule will give us unique solution to a system of equations, if it exists. However, if the system has no solution or an infinitive number of solutions that is determinant is zero.