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Work is said to be done when a force acts on an object and the point of application of the force moves in the direction of force. Conditions to be satisfied for work to be done: Some force must act on the object The point of application of force must move in the direction of force The product of th..

Types of linear systems Gauss-Jordan elimination, Gauss-Jordan method Vectors and vector addition Geometrical solution sets of systems of equations Rectangular matrices to row echelon form Matrix multiplication Inverse to a square matrix Determinants of 2 by 2 and 3 by 3 matrices Row redu..

Addition or Composition of Vectors - Scalars can be added algebraically. However, vectors do not obey the ordinary laws of algebra. This is because vectors possess both magnitude and direction. Vectors are added geometrically. The process of adding two or more vectors is known as addition..

Work and Measurement of Work - Work is said to be done when a force acts on an object and the point of application of the force moves in the direction of force. Conditions to be satisfied for work to be done: Some force must act on the object The point of application of force must move in the direc..

Let A = [a ij ] be a square matrix. We can associate with the square matrix A, a determinant which is formed by exactly the same array of elements of the matrix A. A determinant formed by the same array of elements of the square matrix A is called the determinant of the square matrix A and is denot..

In an athletic meet different participants start running at the same time and cover the same distance. The person who takes the minimum time to cover the distance will be judged as the winner. Suppose Ram and Krishna take 20 minutes and 10 minutes respectively to cover a distance of 1000 m, who is ..

Just as the electric field is described as force per unit charge, electric potential at a point can be described as electrical potential energy per unit charge. This concept is useful in calculations involving energies of charged particles. Not only that, as force is related to work, electric pote..

Determinants - Let A = [a ij ] be a square matrix. We can associate with the square matrix A, a determinant which is formed by exactly the same array of elements of the matrix A. A determinant formed by the same array of elements of the square matrix A is called the determinant of the square matrix..

Speed - In an athletic meet different participants start running at the same time and cover the same distance. The person who takes the minimum time to cover the distance will be judged as the winner. Suppose Ram and Krishna take 20 minutes and 10 minutes respectively to cover a distance of 1000 m,..

Motion: Whenever a body changes its position continuously with respect to the position of other bodies around it then it is said to be in motion Rest: An object which does not change its position with respect to its surroundings is said to be at rest Distance: It is the actual length of the..