scalar multiplication online study

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..

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Laws of Chemical Combination - The study of reactions is one of the important areas of Chemistry. There are many aspects of a reaction like the rate of reaction, energy absorbed or evolved, mechanism of a reaction that can be evaluated only with weight and volume relationships. A stu..

Methods of Study - The branch of genetics, which deals with the inheritance of characters in human beings, is called human genetics. Eugenics is a branch of human genetics which is concerned with the use of knowledge of genetics for the welfare of the human race. Sir Archibald Garrod, a B..