Determinant Questions

Let and determine diagonals of a parallelogram PQRS and be another vector. Then the volume of the parallelepiped determined by the vectors and is...

Let P and Q be 3 × 3 matrices with P ≠ Q.If P3 = Q3 and P2Q = Q2P, then determinant of(P2 + Q2) is equal to :...

Consider the set A of all determinants of order 3 with entries 0 or 1 only. Let B be the subset of A consisting of all determinants with valus 1. Let C be the subset of A consisting of all deter minan...

If A and B are square matrices of equal degree, then which one is correct among the following ?

The determinant = 0, If

The parameter, on which the value of the determinant does not depend upon, is

If f(x) = , then f (100) is equal to

If the system of equation x - ky - z = 0, kx - y - z = o, x + y - z = 0 has a non-zero solution, then possible values of k are

The number of distinct real roots of = 0 in the interval - ≤ x ≤ is...

If the system of equations x + ay = 0, az + y = 0 and ax + z = 0 has infinite solutions, then the value of a is

The number of values of k for which the system of equations (k + 1)x + 8y = 4k kx + (k + 3) y = 3k -1 has infinitely many solutions, is / are

If $a_1, a_2, a_3, \ldots, a_n, \ldots$ are in G.P., then the determinant $\Delta$ = is equal to

If a1, a2, a3 , ....,an , .... are in G.P., then the value of the determinant , is...

If p + q + r = 0 = a + b + c, then the value of the determinant is

If fr (x), gr (x), hr (x), r = 1, 2, 3 are polynomials in x such that fr (a) = gr (a) = hr (a), r = 1, 2, 3 and F(x) - , then F′ (a) is equal to -...

If ᐃ1 = and ᐃ2 = are given, then-...

If = ax3 + bx, then -

The value of determinant is equal to -

If = a0 + a1 (sin x) + a2 (sin2x) + ........ + an (sinnx) then the value of a0 is -...

The value of the determinant is equal to -