Find `P^(-1)`, if it exists, given `P = [(10, -2),(-5, 1)]`.

Find the inverse the matrix (if it exists)given in [(-1, 5),(-3, 2)]

Find the inverse the matrix (if it exists)given in [[1, 0, 0],[ 3, 3, 0],[ 5, 2,-1]]

A,B,C are three mutually exclusive and exhaustive events associated with random experiment .Find P(A) , it being given that P(B) = (3)/(2) P(A) and P( C ) =(1)/(2) P(B)

Find the equation of t he straight line through the given point P and having the given slope m if P(-1, -5), m=(-6)/(11)

Find the force on a charge q_(1)(=20 mu C) due to the charge of q_(2)(=10 mu C) if the positions of the charges are given as P_(1)(1,-1,2) and Q(-1,1,1)

A, B, C are three mutually exclusive and exhaustive events associated with a random experiment. Find P(A) , it being given that P(B)=3/2P(A) a n d P(C)=1/2P(B)dot

Find the image of point P(3,-1) in the point A (-5, 2).

Find the harmonic conjugates of the point R(5, 1) with respect to the points P(2, 10) and Q(6, -2)

A sample space consists of 3 sample points with associated probabilities given as 2p ,p^2,4p-1. Then the value of p is p= a. sqrt(11)-3 b. sqrt(10)-3 c. 1/4 < p <1/2 d.none

Statement-1 : If (1)/(5)(1+5p),(1)/(3)(1+2p),(1)/(3)(1-p) " and " (1)/(5)(1-3p) are probabilities of four mutually exclusive events, then p can take infinite number of values. Statement-2 : If A, B, C and D are four mutually exclusive events, then P(A), P(B), P(C ), P(D) ge 0 and P(A)+P(B)+P(C )+P(D) le 1