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Umnica [9.8K]
4 years ago
12

I WILL MARK BRAINS!!! 10 POINTS

Mathematics
1 answer:
Zinaida [17]4 years ago
5 0

C

A line with undefined slope is a vertical line parallel to the y-axis, passing through all points with the same x-coordinate.

For this reason it's equation is x = c

where c is the value of the x-coordinate the line passes through

For (- 3, 5 ) the x-coordinate is - 3, hence

x = - 3 → is the equation of the line


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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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