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olga_2 [115]
3 years ago
15

Add. Write your answer in simplest form. 3/11+4/11

Mathematics
1 answer:
Andrej [43]3 years ago
8 0
7/11 

3/11+4/11= 7/11 Both denominators are already the same, so you add the numerators together and get 7/11 (7 as the numerator). Then you put them in simplest form by dividing the same number for the both the numerator and denominator, but you're unable to do so with this fraction since it's already in it's simplest form. Hope this helped :)!
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Answer: a) AB = \left[\begin{array}{ccc}-14&26\\-11&22\end{array}\right] ; b) \left[\begin{array}{ccc}5&-5\\13&9\end{array}\right] ; c) No, they are different; d) No, they are never the same;

Step-by-step explanation:

a) A = \left[\begin{array}{ccc}-2&4\\1&3\end{array}\right] , B = \left[\begin{array}{ccc}-2&1\\-3&7\end{array}\right]. This multiplication is possible, because matrix A has 2 columns and matrix B has 2 rows. When those value are equal, the multiplication is possible.

AB = \left[\begin{array}{ccc}-2&4\\1&3\end{array}\right] . \left[\begin{array}{ccc}-2&1\\-3&7\end{array}\right] = \left[\begin{array}{ccc}-14&26\\-11&22\end{array}\right]

b) BA = \left[\begin{array}{ccc}-2&1\\-3&7\end{array}\right] . \left[\begin{array}{ccc}-2&4\\1&3\end{array}\right] = \left[\begin{array}{ccc}5&-5\\13&9\end{array}\right]

c) As, we can see, parts a and b are differents.

d) With matrices, multiplication is not commutative, which means AB≠BA

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