Overview

scalar multiple


Show Summary Details

Quick Reference

(of a matrix)

Let A be an m×n matrix, with A=[aij], and k a scalar. The scalar multiple kA is the m×n matrix C, where C=[cij] and cij=kaij. Multiplication by scalars has the following properties:(i) (h+k)A=hA+kA.(ii)k(A+B)=kA+kB.(iii)h(kA)=(hk)A.(iv) 0A=O, the zero matrix.(v) (−1)A=−A, the negative of A.

(i) (h+k)A=hA+kA.

(ii)k(A+B)=kA+kB.

(iii)h(kA)=(hk)A.

(iv) 0A=O, the zero matrix.

(v) (−1)A=−A, the negative of A.

Subjects: Mathematics.


Reference entries

Users without a subscription are not able to see the full content. Please, subscribe or login to access all content.