Question

How do you simplify `1/2[(4,6),(3,0)]-2/3[(9,27),(0,3)]`?

Answer 1

Please see the explanation

Explanation:

Given:

`1/2[(4, 6),(3,0)] - 2/3[(9,27),(0,3)] =`

Multiplication of a matrix by a scalar is done on each element:

`[(4/2, 6/2),(3/2,0)] + [((-2/3)9,(-2/3)27),(0,(-2/3)3)] =`

Matrix addition is done by adding the two elements of the same position in the matrix:

`[(2, 3),(3/2,0)] +[(-6,-18),(0,-2)] =`

`[(2+ -6, 3+ -18),(3/2+ 0,0+ -2)] =`

`[(-4, -15),(3/2,-2)]`