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?

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Answer 1 · 2017-07-19T13:07:25

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

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

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:
$a_"ij"+b_"ij"=c_"ij"$

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

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

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)]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?