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

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Answer 1 · 2016-10-31T02:14:49

Please see the 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)]#