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ch4aika [34]
3 years ago
7

2. Is this correct? Is there anything I could have done better? Anything that needs to be added? Anything that needs to be taken

out?

Advanced Placement (AP)
1 answer:
Romashka [77]3 years ago
4 0

Answer:

View Image

Explanation:

You seem to do everything correctly except that typo at the end with the -1.6. It's supposed to be -1.5.

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Answer:

3B - 4C = \left[\begin{array}{cc}-8 &-23\\1&-15\end{array}\right]

Explanation:

Given

B = \left[\begin{array}{cc}8&-5\\-1&3\end{array}\right]

C = \left[\begin{array}{cc}8&2\\-1&6\end{array}\right]

Required

Determine 3B - 4C

If

B = \left[\begin{array}{cc}8&-5\\-1&3\end{array}\right]

Then

3B = 3 * \left[\begin{array}{cc}8&-5\\-1&3\end{array}\right]

3B = \left[\begin{array}{cc}24&-15\\-3&9\end{array}\right]

Similarly,

If

C = \left[\begin{array}{cc}8&2\\-1&6\end{array}\right]

Then

4C = 4 * \left[\begin{array}{cc}8&2\\-1&6\end{array}\right]

4C =  \left[\begin{array}{cc}32&8\\-4&24\end{array}\right]

So:

3B - 4C = \left[\begin{array}{cc}24&-15\\-3&9\end{array}\right] - \left[\begin{array}{cc}32&8\\-4&24\end{array}\right]

This gives:

3B - 4C = \left[\begin{array}{cc}24 - 32 &-15-8\\-3-(-4)&9-24\end{array}\right]

3B - 4C = \left[\begin{array}{cc}-8 &-23\\1&-15\end{array}\right]

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