23MA1004 Quiz Test

A square matrix is said to be orthogonal if ______

• A^(T) = A

• A.A^(T)=1

• A^(T) = A^(-1)

• A^(-1)=A

The product of the eigenvalues equals ____________.

• eigenvectors of the matrix

• determinant value of the matrix

• zero

• inverse of the matrix

The Laplace transform of e^-at = _______.

• 1/(s+a)

• 1/(s-a)

• 1/s

• 1/a

The function sint is a periodic function with period _______.

• 3π
• 4π
• 2π
• 5π

The inverse Laplace transform of 1/(s-2)= ________.

• e^(5t)
• e^(2t)
• e^(3t)
• e^(4t)

The inverse Laplace transform of 1/(s^(2)-9) = ______

• (1/3)cos(3t)
• (1/3)sinh(3t)
• (1/3)cosh(3t)
• (1/3)sin(3t)

The transform of Z(aⁿ) = _______.

• Z/(Z*a)
• Z/(Z-b)
• Z/(Z+a)
• Z/(Z-a)

Find the Z transform of Z/(Z-5).

• 5^(n)

• A * (z/(z-5))
• (-5)^n

• Z * (z/(z-5))

The iteration formula of Newton Raphson method is _______.

• x_{n+1} = x_n + f(x_n) * f'(x_n)
• x_{n+1} = x_n - f(x_n) / f'(x_n)
• x_{n+1} = x_n + f(x_n) / f'(x_n)
• x_{n+1} = x_n * f(x_n) / f'(x_n)

If B^(2) -4AC = 0 the partial differential equation is said to be __________.

• hyperbolic
• parabolic
• elliptic
• linear