DeterminantHard
Question
Matrix
is non invertible if
Options
A.α = 1/2
B.a, b, c are in A.P.
C.a, b, c are in G.P.
D.a, b, c are in H.P.
Solution
Taking C3 → C3 - (C1α - C2)
we get
|A| =
= (1 - 2α) (ac - b2)
∴ non-invertible if α =
or if a, b, c are in G.P.
we get
|A| =
∴ non-invertible if α =
Create a free account to view solution
View Solution FreeMore Determinant Questions
If the system of equations x + 2y + 3z = 4, x + py + 2z = 3, μx + 4y + z = 3 has an infinite number of solution, th...Identify the correct statement(s)...If B is a non-singular matrix and A is a square matrix, then det (B-1 AB) is equal to...Let r = 1, 2, 3 be three mutually perpendicular unit vectors, then the value of is equal to...If A, B and C are the angles of a triangle and then the triangle ABC is-...