Scalar Matrix Multiplication

Given a matrix, A = (aij), and a real number, k pertenece R, the product of a real number by a matrix is a matrix of the same dimension as A, and each element is multiplied by k.

k · A=(k aij)

Scalar Matrix Multiplication


Properties

a · (b · A) = (a · b) · A A Pertenece Mmxn, a, b PerteneceAny Real Number

a · (A + B) = a · A + a · BA,B Pertenece Mmxn , a Pertenece Any Real Number

(a + b) · A = a · A + b · A A Pertenece Mmxn , a, b Pertenece Any Real Number

1 · A = A A Pertenece Mmxn