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Please help! Correct answer only, please! I chose C as my answer on my first attempt, but it was incorrect. Determine the value of the following if it is possible. If it is not possible, explain. A. B. C. D.

Please help Correct answer only please I chose C as my answer on my first attempt but it was incorrect Determine the value of the following if it is possible If class=

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Answer:  C

Step-by-step explanation:

To multiply a number (outside of a matrix), simply distribute that number to EVERY value of the matrix.

[tex]X\left[\begin{array}{cc}a&b\\c&d\end{array}\right] \quad = \quad \left[\begin{array}{ccc}a(X)&b(X)\\c(X)&d(X)\end{array}\right] \\\\\\3\left[\begin{array}{cc}-2&0\\4&-7\end{array}\right] \quad =\quad \left[\begin{array}{cc}-2(3)&0(3)\\4(3)&-7(3)\end{array}\right]\quad = \quad \large\left[\begin{array}{cc}-6&0\\12&-21\end{array}\right][/tex]

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