If $A \cap B = {0}$, $\dim A = 2$, $\dim B = 1$ in 3D space, then

1

If $A$ and $B$ are two odd order skew-symmetric matrices such that $AB = BA$, then $AB$ is

Topic: AMU MCA 2020

2

The general solution of $(y - z)p + (z - x)q = x - y$ is

Topic: AMU MCA 2020

1

Let $V$ be a 3-dimensional vector space with $A$ and $B$ its subspaces of dimensions $2$ and $1$ respectively. If $A \c…

Topic: AMU MCA 2020

2

The solution of $\frac{dx}{x^2 - yz - z^2} = \frac{dy}{2xy} = \frac{dz}{2xz}$ is given by

Topic: AMU MCA 2020

3

Which of the following is not true?

Topic: AMU MCA 2020

4

An integrating factor for $(\cos y \sin 2x)dx + (\cos^2 y - \cos^2 x)dy = 0$

Topic: AMU MCA 2020

5

Let $T$ be a linear operator on $\mathbb{R}^3$ defined by $T(x,y,z) = (2x,; x-y,; 5x + 4y + z)$ Then $T^{-1}$ is

Topic: AMU MCA 2020

6

If $A = \begin{bmatrix} 3 & -2 \\ 4 & -2 \end{bmatrix}$ satisfies the matrix equation $A^2 - kA + 2I = 0$, then the val…

Topic: AMU MCA 2020

7

The general solution of $y = 2x \frac{dy}{dx} + y\left(\frac{dy}{dx}\right)^2$ is

Topic: AMU MCA 2020

8

The equation of the cone reciprocal to $x^2 + 2y^2 + 3z^2 = 0$ is

Topic: AMU MCA 2020

9

The direction cosines of the line which is equally inclined to the axes is

Topic: AMU MCA 2020

10

Let $T : \mathbb{R}^2 \to \mathbb{R}^3$ defined by $T(x,y) = (-x-y, 3x+8y, 9x-11y)$. Then the rank and nullity of $T$ a…

Topic: AMU MCA 2020