grade 1 math!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

C(n,0) = C(n,n) = 1..

1. A.(adj A) = (adj A). A = |A| I 2. adj (AB) = (adj B) . (adj ..

Suppose two events E 1 and E 2 are to be performed in sequence, then if E 1 can be performed in 'm' ways and for each of these ways E 2 can be performed in 'n' ways, then the sequence E 1 E 2 can be performed in 'mn' different ways. This is known as the Fundamental Pri..

Fundamental Principle of Counting - Suppose two events E 1 and E 2 are to be performed in sequence, then if E 1 can be performed in 'm' ways and for each of these ways E 2 can be performed in 'n' ways, then the sequence E 1 E 2 can be performed in 'mn' different ways. ..

If a system of linear equations has at least one solution, then the system is called consistent, otherwise it is called inconsistent. Solve the system of linear equations (1) by using method of elimination as studied earlier Multiplying the first equation by a 2 and the second..

Pre-multiply by A - 1 , \ A - 1 (AX) = A - 1 B \ (A - 1 A) X = A - 1 B \ I X = A - 1 B or X = A - 1 B This is the matrix method to solve the equations. However, ..

1. A square matrix A is said to be skew-symmetric if A ' = -A. 2. The diagonal elements of a skew-symmetric matrix are all ze..

Summary - The fundamental principle of counting (F.P.C) states that if an operation can be performed in m different ways and if for each such choice, another operation can be performed in n different ways, then both operations, in succession can be performed in exactly mn different ways. The princi..

The Greek letter S (read as sigma) denotes the sum. When written before the n t h term of series, implies, the sum of all terms obtained by giving to n the different values 1,2,3..

In other words, a square matrix A is invertible if and only if A is a non-singular matrix. (c) If A and B are invertible square matrices, then (AB) - 1 = B - 1 A - 1 (d) If A and B are two non-singular square matrices of the same order, then AB and BA are al..