How do you simplify $[(4),(1),(-3)]+[(6),(-5),(8)]$ ?

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Answer 1 · 2016-11-08T07:58:34

$((4),(1),(-3))+((6),(-5),(8))=((10),(-4),(5))$

When you have two matrices of the same order i.e. same rows and columns, you can just add respective elements to form a new matrix of the same order.

For example, $((a_1),(a_2),(a_3))+((b_1),(b_2),(b_3))=((a_1+b_1),(a_2+b_2),(a_3+b_3))$

Hence $((4),(1),(-3))+((6),(-5),(8))=((4+6),(1+(-5)),((-3)+8))=((10),(-4),(5))$

How do you simplify [(4),(1),(-3)]+[(6),(-5),(8)][(4),(1),(-3)]+[(6),(-5),(8)]?