
Matrices
... Definition. If A (aij ) is an m n matrix and r is a number then rA, the scalar multiple of A by r, is the matrix C (cij ) where cij raij , i=1,2…, m and j=1,…,n. The following result is a routine verification of definitions: Proposition 1. The matrices of size m n form a vector space under t ...
... Definition. If A (aij ) is an m n matrix and r is a number then rA, the scalar multiple of A by r, is the matrix C (cij ) where cij raij , i=1,2…, m and j=1,…,n. The following result is a routine verification of definitions: Proposition 1. The matrices of size m n form a vector space under t ...