Matrices & Determinants - 4 - Free MCQ Practice Test with solutions, Airforce

The values of θ lying between 0 and (π/2) and satisfying the equation  = 0 are

If a, b and c (all positive) are the pth, qth and rth terms of a geometric progression, then the determinant  is equal to

The value of is

If B is a non-singular matrix and A is a square matrix, then det(B⁻¹ AB) is equal to

The eigen values of the matrix A = are

is equal to

If then the value of is 

If D = then D is equal to

If A =  then A³ - 4A² is equal to

If then

The value of determinant is

If 3x + 2y + z = 0, x + 4y + z = 0, 2x + y + 4z = 0 be a system of equations, then

For what value of λ, the system of equations 3x - y + z = 0, 15x - λ y + 5z = 0, x - 2y + 2z = 0 has a non-zero solution?

For positive numbers x, y and z, the numerical value of  is

If f(x) =  then f(100) is equal to

If f(x), g(x) and h(x) are three polynomials of degree 2, then φ (x) =  is a polynomial of degree

For what value of λ, the system of equations x + y + z = 6, x + 2y + 3z = 10, x + 2y + λz = 12 is inconsistent?

The value of the determinant is equal to

If x, y, z are in A.P., then the value of the determinant is

Le A = where 0 < θ < 2π. Then