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Use basic matrix laws only to expand (A + B)^2

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Let A and B be arbitrary n x n matrices whose entries are real numbers.

Use basic matrix laws only to expand (A + B)². Explain all steps.

Hint: Use the distributive laws.

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Solution Summary

Distributive laws are used to calculate a number of different algebraic configurations. Matrices are used in the calculations.

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Please see the attached file.

Use the following distributive laws for matrices A, ...

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