Answered

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Identify the element [tex]a_{12}[/tex] in the following matrix:
[tex]\[ \left[\begin{array}{cccc}
2 & 4 & 4 & \frac{1}{2} \\
-3 & 0 & 3 & 4 \\
-6 & \frac{2}{3} & 3 & 4
\end{array}\right] \][/tex]

A. 3
B. 4
C. -3
D. [tex]\(\frac{1}{2}\)[/tex]

Sagot :

GinnyAnswer
To find the element [tex]\( a_{12} \)[/tex] in a given matrix, we need to look at the element that is in the first row and second column.

Given the matrix:
[tex]\[ \begin{bmatrix} 2 & 4 & 4 & \frac{1}{2} \\ -3 & 0 & 3 & 4 \\ -6 & \frac{2}{3} & 3 & 4 \end{bmatrix} \][/tex]

1. We first identify the first row of the matrix, which is:
[tex]\[ [2, 4, 4, \frac{1}{2}] \][/tex]

2. Next, we identify the second column of this row. The second column element in the first row is:
[tex]\[ 4 \][/tex]

Hence, the element [tex]\( a_{12} \)[/tex] in the given matrix is:
[tex]\[ 4 \][/tex]

Therefore, the correct answer is:
[tex]\[ 4 \][/tex]
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