theorem 1

If A and B are two invertible matrices of the same order, then (AB) - 1 = B - 1 A - 1..

The number of circular permutations of n different objects is (n-1)..

The length of the line segment AB, which joins A (x 1 , y 1 ) and B (x 2 , y 2 ) is given by ..

Use binomial theorem to find the expansion of (1 - x) 5 => 1 - 5x + 10x 2 - 10x 3 - 5x 4 + x 5 or 1- x + x 2 - x 3 + x 4 - x 5 or 1 - 5x + 10x 2 - 10x 3 + 5x 4 - x 5 or 1- x 5..

Theorem 1:(Addition Rule of Probability) - If A and B are any two events, th..

Lami's Theorem - If three concurrent forces acting on a body keep it in equilibrium, then each force is proportional to the sine of angle between the other two forces. Þ If three concurrent forces keep a body A in equilibrium, the 3 forces must be coplana..

Theorem 2 - The area of a parallelogram is equal to that of a rectangle of the same base and of the same altitude. ABCD is a parallelogram and ABEF is a rectangle. They have common base AB and same height AF (or BE) Corollary Parallelograms having equal bases and equal altitudes are equal..

Law of Total Probability: If B 1 , B 2 , B 3 , .., B n are mutually exclusive and exhaustive events of the sample space S, then for any event A of S. Baye's Theorem: Let S be a sample space. If A 1 , A, A 3 ... A n are mutually exclusive and exh..

A quadrilateral is a parallelogram if one pair of opposite sides are equal and paralle..

Bernoulli's Theorem - This theorem is a consequence of the principle of conservation of energy, applied to ideal liquids in motion. The theorem states that: For the streamline flow of an ideal liquid, the total energy (sum of pressure energy, potential energy and kinet..