Question

question 35 points 2

consider \\(a = \

$$\begin{bmatrix} 5 & 5 \\\\ 2 & 4 \\end{bmatrix}$$

\\). find \\(\\|a\\|\\).

20
10

Explanation:

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<reasoning>

Identify the given matrix and target operation

Using the Matrix Determinant knowledge point
\[
A =

$$\begin{bmatrix} 5 & 5 \\ 2 & 4 \end{bmatrix}$$

\]
The notation \(|A|\) represents the determinant of the \(2 \times 2\) matrix \(A\).

Calculate the determinant of the matrix

Using the Matrix Determinant knowledge point
\[
|A| = (5)(4) - (5)(2) = 20 - 10 = 10
\]
</reasoning>

<answer>
<mcq-option>(A) 20</mcq-option>
<mcq-correct>(B) 10</mcq-correct>
</answer>

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Answer:

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<reasoning>

Identify the given matrix and target operation

Using the Matrix Determinant knowledge point
\[
A =

$$\begin{bmatrix} 5 & 5 \\ 2 & 4 \end{bmatrix}$$

\]
The notation \(|A|\) represents the determinant of the \(2 \times 2\) matrix \(A\).

Calculate the determinant of the matrix

Using the Matrix Determinant knowledge point
\[
|A| = (5)(4) - (5)(2) = 20 - 10 = 10
\]
</reasoning>

<answer>
<mcq-option>(A) 20</mcq-option>
<mcq-correct>(B) 10</mcq-correct>
</answer>

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