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Question 1 of 5Answer the given question:
In order to multiply two matrices together, which of the following statements must be true?
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
The two matrices must not be of the same order
B
The number of rows in the first matrix (leftmost) must equal the number of rows in the second matrix (rightmost)
C
The number of columns in the first matrix (leftmost) must equal the number of rows in the second matrix (rightmost)
D
The number of rows in the first matrix (leftmost) must equal the number of columns in the second matrix (rightmost)
E
The number of columns in the first matrix (leftmost) must equal the number of columns in the second matrix (rightmost)
Question 2 of 5Find AB:
$$A=\left[ \begin{array}{cc}1 & 9\\ 0 & -4\end{array}\right]$$ $$B=\left[ \begin{array}{cccc}2 & 1 & -1 & 0\\ 7 & 4 & 0 & 3\end{array}\right]$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
Does not exist
B
$$\left[ \begin{array}{cccc}12 & 15 & 13 & 0\\ -2 & 14 & 8 & 1\end{array}\right]$$
C
$$\left[ \begin{array}{cccc}3 & 1 & -1 & -3\\ 7 & -5 & 6 & 3\end{array}\right]$$
D
$$\left[ \begin{array}{cc}-1 & 3\\ 5 & -4 \\ 2 & -7\end{array}\right]$$
E
$$\left[ \begin{array}{cccc}65 & 37 & -1 & 27\\ -28 & -16 & 0 & -12\end{array}\right]$$
Question 3 of 5Find AB:
$$A=\left[ \begin{array}{ccc}4 & 9 & 0\\ 6 & -1 & 8\end{array}\right]$$ $$B=\left[ \begin{array}{ccc}9 & -5 & 2\\ 12 & 7 & -1\end{array}\right]$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\left[ \begin{array}{ccc}3 & 4 & 7\\ 0 & 1 & 4\end{array}\right]$$
B
$$\left[ \begin{array}{ccc}8 & -5 & 0\\ 3 & 2 & 9\end{array}\right]$$
C
Does not exist
D
$$\left[ \begin{array}{cc}2 & -1 & 1\\ 5 & 2 & 3\end{array}\right]$$
E
$$\left[ \begin{array}{ccc}-2 & -1 & 1\\ 5 & 6 & 7\end{array}\right]$$
Question 4 of 5Find BA:
$$A=\left[ \begin{array}{cc}2 & -5\\ 6 & 4\end{array}\right]$$ $$B=\left[ \begin{array}{cc}-3 & 8\\ 1 & 0\end{array}\right]$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\left[ \begin{array}{cc}-1 & 3\\ -5 & 2\end{array}\right]$$
B
$$\left[ \begin{array}{cc}42 & 47\\ 2 & -5\end{array}\right]$$
C
$$\left[ \begin{array}{cc}17 & -21\\ 3 & 0\end{array}\right]$$
D
Does not exist
E
$$\left[ \begin{array}{cc}-11 & 16\\ -14 & 48\end{array}\right]$$
Question 5 of 5Find AB:
$$A=\left[ \begin{array}{ccc}7 & 5 & 1\\2 & 1 & 0 \\ 4 & 2 & -1\end{array}\right]$$ $$B=\left[ \begin{array}{ccc}-8 & -7 & 4\\3 & 1 & 2\\ -4 & -6 & 5\end{array}\right]$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
Does not exist
B
$$\left[ \begin{array}{ccc}-45 & -50 & 43\\-13 & -13 & 10 \\ -22 & -20 & 15\end{array}\right]$$
C
$$\left[ \begin{array}{ccc}-54 & -39 & -12\\31 & 20 & 1 \\ -20 & -16 & -9\end{array}\right]$$
D
$$\left[ \begin{array}{ccc}-1 & 37 & 141\\22 & 13 & 5 \\ 14 & -2 & -11\end{array}\right]$$
E
$$\left[ \begin{array}{ccc}7 & 15 & -3\\12 & 18 & 10 \\ -4 & -2 & 13\end{array}\right]$$

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