If P = \(\begin{pmatrix}1 & 3 & 2 \\ 4 & 5 & -1 \\ -3 & 2 & 0 \end{pmatrix}\), find the determinant of matrix P.
If U = {x\x is a positive integer less than 10} and P = {x\x is a prime factor of 30}, find the complement of P
Find the coordinates of the midpoint of the line joining (3, -4) and (-1, 10).
If M and N are two matrices defined by M = \(\begin{pmatrix} 1 & 3 & 2 \\ 4 & 5 & -1 \\ -3 & 2 & 0 \end{pmatrix}\) and N = \(\begin{pmatrix}1 & -2 & 3 \\ 4 & -1 & 5 \\ 2 & -3 & -1 \end{pmatrix}\). Evaluate 2M - 3N
The inverse of the matrix \(\begin{pmatrix} 2 & 1 \\ 1 & 1 \end{pmatrix}\) is
