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malfutka [58]
2 years ago
15

Suppose A and B are square matrices of the same size. Which of the following are necessarily true?

Mathematics
1 answer:
kiruha [24]2 years ago
5 0

Answer:

c. (A + B)^2-A^2 + 2AB + B^2

Step-by-step explanation:

Given that:

a.

(A-B)^2 = A^2 - 2AB + B^2

If and only if AB = BA

Then;

(A-B)^2 = (A -B ) (A - B)

(A-B)^2 = A^2 - AB-BA + B^2    (FALSE)

b.

(AB)^2=A^2B^2

on true if any only if AB =BA

(AB)^2= (AB) (AB)

c.

(A+ B)^2 =  A^2 + 2AB + B^2

(A+ B)^2 = (A + B) (A+B)

(A+ B)² = A × A + A × B + B × A + B × B

(A+ B)^2 = A^2 + A*B + B*A + B^2

This is true

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Answer:

\sin \: x -  \cos  x \:  + c

Step-by-step explanation:

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2 years ago
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valentina_108 [34]

Answer:

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Step-by-step explanation:

Q1: $ \textbf{-} \frac{\textbf{p}}{\textbf{3}} \hspace{1mm}  \textbf{-} \hspace{1mm}  \textbf{8} \hspace{1mm}  \textbf{=} \hspace{1mm} \textbf{3}

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Step-by-step explanation:

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