prepare for scalar multiplication

Let A=[a i j ] be an m x n matrix and k be any number called a scalar. Then the matrix obtained by multiplying every element of A by k is called the scalar multiple of A by k and is denoted by kA. Thus, kA = [k a i j ] m x ..

When a matrix is multiplied by a scalar factor k, then each element of the matrix is multiplied by ..

Multiplication of Vectors by Real Numbers, i.e., Scalar Multiple of a Vector - The multiplication of a vector by a real number assumes a lot of significance in such statements as - velocity of car B is double the velocity of car A l . When a vector is multipl..

(c f) (x) = c.f (x) for all x Domain (..

The multiplication of a vector by a real number assumes a lot of significance in such statements as - velocity of car B is double the velocity of car A l . When a vector is multiplied by a real number, say l , then we get another vector l . The magnitude of l is l times the magnitude of ...

A scalar matrix is a diagonal matrix in which all the diagonal elements are equa..

(1) A x I = I x A = A where I denotes a unit matrix of suitable order. Matrix I possesses identity property of multiplication, I is called a unit matrix or identity matrix. (2) , it does not have commutative property. (3) A(B + C) = AB + AC (Distributive property) (4) A(BC) = (AB)C (A..

In the multiplication of 5.1028 (five significant figures) with 1.30 (three significant figures) the value is 6.63364, but the correct answer is 6.6..

Multiplication phase also known as Spermatocytogenesis. The sperm mother cells present in the germinal epithelium of the seminiferous tubules divide repeatedly by mitosis to form large number of diploid rounded sperm mother cells which are called as spermatogonia. Some of these sex cells ..

The same principle can be generalized to three or more events occurring in succession as follows: If n operations can be performed in m 1 ,m 2 ,m 3 ,...m n ways respectively, then all n operations in succession can be performed exactly in m 1 ,m 2 ,m 3 ,...m n ways. The above principle is called..