We observe that
the new matrix is obtained by multiplying each element of the previous matrix by 2 In general, we may define multiplication of a matrix by a scalar as follows: if
A = [aij] m × n is a matrix and k is a scalar, then kA is another matrix which is obtained
by multiplying each element of A by the scalar k In other words, kA = k[aij] m × n = [k (aij)] m × n, that is, (i, j)th element of kA is kaij
for all possible values of i and j For example, if
A =
3
1
1