Systems of Equations and Inequalities: Matrices and Determinants

Scalar Multiplication of Matrices

You can also multiply a matrix by a real number k. This is called scalar multiplication.

kA = k time the matrix with row one a sub 1 1, a sub 1 2, row two a sub 2 1, a sub 2 2 = two rows and two columns, row one has k times a sub 1 1, k times a sub 1 2, row two has k times a sub 2 1, k times a sub 2 2


Each entry in the matrix is multiplied by the real number k.  Again, notice that the resulting matrix has the same dimensions as the original matrix.