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If A is a skew symmetric matrix, then $A^2$ is

If $A=\begin{bmatrix}0 & 1\\0 & 0\end{bmatrix}$, then $A^{1999}$ is equal to

A and B are square matrices of order 3 each such that $|A|=3, |B|=2$, then the value of $|4AB|$ will be?

The solution set of the given inequation $\frac{2x+3}{x-1}<4 (x\neq1)$ is:

If A is a non-singular square matrix of order n, then which of the following are TRUE ?

A. $|adj A|=|A|^{n-1}$

B. $|adj A|=|A|^{n-2}$

C. $|adj (adj A)|=|A|^{(n-2)^2}$

D. $|adj (adj A)|=|A|^{(n-1)^2}$

Choose the correct answer from the options given below:

Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

If $\begin{vmatrix} -a^2 & ab & ac \\ ba & -b^2 & bc \\ ac & bc & -c^2 \end{vmatrix} = 4x$, then $x =$

The area of the triangle with vertices $(1,4), (2,7)$ and $(4,13)$ is :

If $A = \begin{bmatrix} 1 & 0 \\ -1 & 7 \end{bmatrix}, I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$ and $A^2 = 8A + kI$, the value of k is :

Let X & Y be 2 invertible square matrix, then which of the following is true

(A) $(AB)^{-1} = A^{-1} B^{-1}$

(B) $(AB)^{-1} = B^{-1} A^{-1}$

(C) $(AB)' = A' B'$

(D) $(AB)' = B' A'$

Choose the answer from the options given below

If $P = \begin{bmatrix} -2 & 2 & 0 \\ 3 & 1 & 4 \end{bmatrix}$ and $Q = \begin{bmatrix} 2 & 0 & -2 \\ 7 & 1 & 6 \end{bmatrix}$, If $5Q - 3P + 2R = 0$, then the matrix R is

Solution for the inequality $|3x - 7| \leq 2$ is :

Which of the following are true for the given graph.

(A) Break even point is at x = 10

(B) Break even point is at x = 8

(C) Break even point is at x = 6

(D) Fixed cost is 20

(E) Fixed cost is 0

Choose the correct answer from the options :

If $\begin{bmatrix} 2x & -7 \\ 5y & 8 \end{bmatrix} = \begin{bmatrix} 6 & -7 \\ -5 & 3x + y \end{bmatrix}$, then value of $5x - 3y$ is :

The least positive integer X satisfying $28 \equiv x (\mod 6)$ is :

If $A = \begin{bmatrix} n & 0 & 0 \\ 0 & n & 0 \\ 0 & 0 & n \end{bmatrix}$ and $B = \begin{bmatrix} a_1 & a_2 & a_3 \\ b_1 & b_2 & b_3 \\ c_1 & c_2 & c_3 \end{bmatrix}$, then AB is equals to :

If a matrix A is both symmetric and skew symmetric then :

the least non-negative remainder when $3^{17}$ is divided by 7 is :

If $\begin{bmatrix} 5x + 8 & 7 \\ y + 3 & 10x + 12 \end{bmatrix} = \begin{bmatrix} 2 & 3y + 1 \\ 5 & 0 \end{bmatrix}$, then the value of $5x + 3y$ is equal to :

If A and B are events such that $P(A/B) = P(B/A)$, then :

A die is thrown. If A is the event 'the number appearing is a multiple of 3 and B is the event 'the number appearing is even', then A and B are

The sum of the minor and the cofactor of the element 6 in the determinant $\begin{vmatrix} 2 & 3 & 1 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{vmatrix}$ is :

If $\begin{vmatrix} 2 & 4 \\ 5 & 1 \end{vmatrix} = \begin{vmatrix} 2x & 4 \\ 6 & x \end{vmatrix}$, then x is equal to :

A matrix has 24 elements , which of the following cannot be the possible order of the matrix

A die is rolled thrice. What is the probability of getting a number greater than 4 in the first and the second throw of dice and a number less than 4 in the third throw?

Evaluate $3^{15} \mod(7)$

If $A = \begin{bmatrix} -2 & 1 \\ 3 & 2 \end{bmatrix}$ and $B' = \begin{bmatrix} -1 & 1 \\ 0 & 2 \end{bmatrix}$, then $(A+2B)' =$

Matrix $A = \begin{bmatrix} 0 & a & 5 \\ 4 & b & -1 \\ c & 1 & 0 \end{bmatrix}$ is skew - symmetric, then the values of a, b c are :

Let $P = \begin{bmatrix} 5 & 2 \\ 7 & 4 \end{bmatrix}$, $Q = \begin{bmatrix} 2 & 5 \\ 3 & 8 \end{bmatrix}$, $R = \begin{bmatrix} 2 & -1 \\ 3 & 4 \end{bmatrix}$, then the matrix S such that QS - RP = 0 will be :

If a square matrix B satisfies $B^2 = I - B$ and $B^n = 5I - 8B$, then the value of n is :