scalar multiplication calculator

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 ...

Let us consider the sales done by a school canteen for two successive days. Monday 25 cokes 12 cakes Tuesday 40 cokes 7 cakes Each coke costs $ 5 and cake costs $ 10. The sales can be expressed as a 2 x 2 matrix and the price as a 2 x 1 matrix as given below: The amount collected for two days can b..

Proposed by Dalton in 1803, this law states that: 'When two elements combine to form two or more compounds, then the different masses of one element, which combine with a fixed mass of the other, bear a simple ratio to one another'. This law is evident when one element combines with another to giv..

Equality of Matrices, Addition of Matrices, Matrix Addition is commutative, Matrix addition is associative, Subtraction of Matrices, Multiplication of a matrix by a scalar, Multiplication of Matrices, Properties of Matrix Multiplication, Transpose of a ..

The following are the Operation on Real Functions: Sum Function, Difference Function, Product Function, Quotient Function, Scalar Multiplication Function, Composite Functions, Inverse Function..

It was mentioned earlier that, displacement vectors are added to displacement vectors, or velocity vectors are added to velocity vectors. Just as it is meaningless to add scalar quantities of different kinds, such as mass and temperature, so also it is meaningless to add vector quantitie..