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Refer to matrix [tex]\( B \)[/tex] and identify the matrix element [tex]\( b_{11} \)[/tex].

[tex]\[
B = \begin{bmatrix}
6 & -3 & \frac{1}{2}
\end{bmatrix}
\][/tex]

A. [tex]\(-3\)[/tex]
B. [tex]\(\frac{1}{2}\)[/tex]
C. 6

Sagot :

GinnyAnswer
To identify the matrix element [tex]\( b_{11} \)[/tex] in matrix [tex]\( B \)[/tex], follow these steps:

1. First, observe the matrix [tex]\( B \)[/tex]:
[tex]\[ B = \left[ \begin{array}{lll} 6 & -3 & \frac{1}{2} \end{array} \right] \][/tex]
Here, [tex]\( B \)[/tex] is a 1x3 matrix (1 row and 3 columns).

2. In matrix notation, [tex]\( b_{ij} \)[/tex] refers to the element in the [tex]\( i \)[/tex]-th row and [tex]\( j \)[/tex]-th column. For [tex]\( b_{11} \)[/tex], it means the element in the first row and the first column.

3. Look at the element in the first row and the first column of matrix [tex]\( B \)[/tex]:
[tex]\[ B_{11} = 6 \][/tex]

Therefore, the matrix element [tex]\( b_{11} \)[/tex] is 6.
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