If B=\begin{bmatrix} 4 & 2\\ 1 & 3 \end{bmatrix} then find `B^2`

3. If \begin{equation*} A = \begin{bmatrix} 3 & 3 & 5 \\ 4 & 4 & 4 \\ \end{bmatrix} \end{equation*} and \begin{equation*} B = \begin{bmatrix} -3 & 4 \\ 2 & -5 \\ 1 & 1 \end{bmatrix} \end{equation*} Then find the value of AB

\begin{bmatrix} 1 & 6 \\ 7 & 2 \end{bmatrix} =P+Q , where P is Symmetric and Q is a skew-symmetric then P=

If A^T=[3 4-1 2 0 1] and B=[-1 2 1 1 2 3], then find A^T- B^T

If A=(1,2,3) and B=(3,4,5), then find A xx B .

if A =diag[2 -3 4], B= diag[3 1 -2 )and C= diag[-1 2 2] then find 2A-B+3C.

If A = {1,3,5,7,9} and B = {1,2,3,4,5} then find A cup B and A cap B .

If A=[[1,2],[3,4]] , B=[[3,8],[7,2]] and 2X+A=B then find X

A cubical die is thrown 9 times and the numbers obtained are written as a 9 digit number. The probability that the number (A) begins with 246 is 1/6^3 (B) ends with 135 is 1/6^3 (C) begins with 246 and ends with 135 is 1/6^6 (D) begins with 248 or ends with 135 is 431/6^6

If A={1,2} and B={3,4,5}. Find A xx B