scalar

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

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 ..

Multiplication of a Matrix by a Scalar - 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 multiplied by a real number, say l , ..

Kinematics..

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..

Find the scalar product of - 4 and the square matrix ( 5 0 - 4 5 ) . => ( 20 0 16 20 ) or ( - 20 0 16 - 20 ) or ( - 20 0 16 20 ) or ( 20 0 16 - 20 )..

Find the scalar product of - 5 and the square matrix ( 4 0 - 6 3 ) . => ( - 5 0 5 5 ) or ( - 4 3 - 4 0 ) or ( - 20 0 30 - 15 ) or ( - 4 - 3 - 6 0 )..

If A = ( 3 6 1 2 ) , B = ( 6 4 5 8 ) and scalar c = 3, which of the following is always true? => AB = BA or c(AB) = (cA)B or A × B = B × A or c(AB) = A + B..

If A = ( 2 4 8 9 ) and n , m are scalars, then find ( n + m ) A. => n A + m A or n A + m or n m A or n + m A..