The number of for which the system of linear equations
has no solution, is
Tip for solving this question:
- By converting linear equations into matrix form, find the determinant of the matrix. Also, check out What is Determinant of Matrix in detail here.
- Then using properties of linear equations, we find the number for no solutions.
Matrix Form of Linear Equations:
Now, the determinant of a matrix is
We have given that system of linear equations has no solution
For no solution, = 0
No solution is there for
Therefore, from (1) and (2)
Number of solutions = 7
Option (B) is correct.