By rule for differentiation of a determinant âˆ†' = âˆ†1 + âˆ†2 + âˆ†3.
âˆ†1 is zero because of identical columns and âˆ†3 = 0 because of a column of all zeros 2 = 0 because C3 in âˆ†2 is 3/2 C2.
If the number of distinct real roots of
The value of
The parameter, on which the value of the determinant
If the system of equations x – ky – z = 0, kx – y – z = 0, x + y – z = 0 has a non zero solution, then the possible values of k are
x + ay = 0, y + az = 0, z + ax = 0. The value of a for which the system of equation has infinitely many solutions is