Question

Given the matrices `A=[(5,7),(-1,6), (3,-9)], B=[(8,3), (5,1), (4,4)], C=[(0,4),(-2,5), (7,-1)], D[(6,2), (9,0), (-3,0)]`, how do you find C+1/3D?

Answer 1

`C+1/3D=[(2,14/3),(1,5),(6,-1)]`

Explanation:

`C+1/3D=[(0,4),(-2,5),(7,-1)]+1/3[(6,2),(9,0),(-3,0)]`

Matrix multiplication with a scalar
multiply each of the entries of the matrix with the scalar number

`C+1/3D=[(0,4),(-2,5),(7,-1)]+[(2,2/3),(3,0),(-1,0)]`

Matrix addition
The matrices must be of same size:
`a_"ij"+b_"ij"=c_"ij"`

`C+1/3D=[(0+2,4+2/3),(-2+3,5+0),(7-1,-1+0)]`

`C+1/3D=[(2,14/3),(1,5),(6,-1)]`