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 ᐃ = , then...If a, b, and c, nonzero real numbers, then is equal to -...For ᐃABC, the value of the determinant is equal to -...If D is a determinant of order three and ᐃ is a determinant formed by the cofactors of determinant D ; then...The value of ′k′ for which the set of equations 3x + ky - 2z = 0, x + ky + 3z = 0, 2 x + 3 y - 4 z = 0 has a...