How do I solve: for the matrix A find - A and A + (-A), A=[3 - 8] bottom part[-6 5]

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Mercado

Mathematics

18 September, 10:06

How do I solve: for the matrix A find - A and A + (-A), A=[3 - 8] bottom part[-6 5]

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Berger · Answer 1

To find - A, we use scalar multiplication. This is where we multiply each number of a matrix by a constant. In this case, the constant is - 1.

So the values of - 1A are:

[-3 8] on top, and [6 - 5] on bottom.

Next we add A and - A together. To do this, simply add each number to it's counterpart in the other matrix.

A + (-A) = [0 0] on top and [0 0] on bottom. Since the values of - A are the opposites to the values of A, they cancel each other out.