Answer:
The answer is B. 12 27 39 15
Step-by-step explanation:
The matrix that is equal to 3A is given by option c) and this can be determined by using the matrix transformation rules.
Check all the options in order to determine which matrix is equal to 3A.
a)
[tex]\rm A = \left[\begin{array}{ccc}4&9\\13&5\end{array}\right][/tex]
Nothing gets common in the second row. Therefore, this option is incorrect.
b)
[tex]\rm A = \left[\begin{array}{ccc}-7&12\\16&8\end{array}\right][/tex]
Nothing gets common in the first row. Therefore, this option is incorrect.
c)
[tex]\rm A = \left[\begin{array}{ccc}-12&27\\39&15\end{array}\right][/tex]
[tex]\rm A = \left[\begin{array}{ccc}-(3\times4)&(3\times9)\\(3\times 13)&(3\times5)\end{array}\right][/tex]
Take out 3 which is a common term in the above matrix.
[tex]\rm A =3 \left[\begin{array}{ccc}-4&9\\13&5\end{array}\right][/tex]
Therefore, this option is correct.
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https://brainly.com/question/16823190
