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Definition
Let R i denotes the i t h row of the matrix A = [a i j ] then the elementary row operations on the matrix A are defined as: 3. R i g R i + kR j means multiply each element of j t h row by k and add it to the corresponding elements of i t h row. The corresponding column transformatio..
Let R i denotes the i t h row of the matrix A = [a i j ] then the elementary row operations on the matrix A are defined as: 3. R i g R i + kR j means multiply each element of j t h row by k and add it to the corresponding elements of i t h row. The corresponding column transformatio..Definition:
Union of two sets A and B is the set of all elements which are in A, or in B, or both in A and B. In Set builder form,..
Union of two sets A and B is the set of all elements which are in A, or in B, or both in A and B. In Set builder form,..Definition:
If A and B are any two sets then the relative complement of B in A is the set of all elements in A which are not in B. It is denoted by A - B..
If A and B are any two sets then the relative complement of B in A is the set of all elements in A which are not in B. It is denoted by A - B..Definition
A function f(x) is called periodic if there exists a non zero number p such that f(x+p) is defined and f (x+p) = f(x) for all values of x in the domain of f(x). The number p is called the period of f(x). The function sinx has periods 2 p , 4 p ,6 p ,....since sin (x+2 p ), sin (x+4 p ), sin (x+6 p..
Definition
If the trigonometric point P(t) has co-ordinates (x, y) then cos q = x, sin q = y. The point P (x,y) on the unit circle can be written as P (cos q , sin q ). From the figure, OP 2 = OM 2 + PM 2 x 2 + y 2 = 1 Now we have the identity (cos q ) 2 + (sin q ) 2 = 1. Further four ..
If the trigonometric point P(t) has co-ordinates (x, y) then cos q = x, sin q = y. The point P (x,y) on the unit circle can be written as P (cos q , sin q ). From the figure, OP 2 = OM 2 + PM 2 x 2 + y 2 = 1 Now we have the identity (cos q ) 2 + (sin q ) 2 = 1. Further four ..Definitions
Collinear vectors are those vectors that act either along the same line or along parallel lines. These vectors may act either in the same direction or in opposite direction..
Definition
The velocity of a moving particle is the rate of its displacement or the rate of change of its displacement with time. Therefore, velocity possesses both magnitude and direction and hence, is a vector. A particle is said to be moving with uniform velocity when it is moving along a straight line ..
The velocity of a moving particle is the rate of its displacement or the rate of change of its displacement with time. Therefore, velocity possesses both magnitude and direction and hence, is a vector. A particle is said to be moving with uniform velocity when it is moving along a straight line ..Definition
Self-inductance of a coil is 1 Henry when a current changes at the rate of 1 amp/sec through the coil induces EMF of 1 volt in the co..
Definitions
Accretionary growth: - Post embryonic growth in some special cells to reinforce and replace the worn out differentiated cell..
Definition of Torque
Definition of Torque - Torque is the product of the magnitude of the force and the lever arm of the force. What is the significance of this concept in our everyday lif..
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