https://file.aiquickdraw.com/mathbot/file/1726542421270qby6hgwr.jpg

The problem in the image provides a matrix \( A \):

\[
A = \begin{pmatrix} \frac{2x + 1}{3} & \frac{x - 1}{x} \end{pmatrix}
\]

It asks for the value of \( x \) such that \( \text{det}(A) = 27 \), and the matrix is 2x2. However, it seems the determinant formula for a 2x2 matrix will be based on the structure of \( A \). Let's proceed to solve it step by step. 

But, first, I need to clarify the exact structure of \( A \) from the image, as some parts seem ambiguous.

Could you provide more context or confirm the exact matrix \( A \)?

Jika A = (2x+1/3  x-1/x), maka jumlah semua nilai x sehingga det A = 27 adalah ...

Explore how to find the value of x in the matrix A = (2x+1/3, x-1/x) so that det A equals 27. This advanced algebra problem focuses on matrix determinants and algebraic manipulation of fractions. Suitable for students in Grade 11-12.

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