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MissPhiladelphia

A matrix is an array of numbers and may be presented in 3x3, 4x4 and so on forms. The 3x3 corresponds to the coefficients of the given algebraic equation. It also corresponds to the placement of the given coefficients. In here, element a23 in matrix A is 8. 

Answer: The answer is (A) -5.

Step-by-step explanation:  We are given to find the element \(a_{23}\) in the following matrix:

\(A=\begin{bmatrix}8 & -4 & -3\\ 3 & -9 & -5\\ -8 & 8 & 8\end{bmatrix}\)

We know that \(a_{mn}\) is an element of a matrix present in the m-th row and n-th column.

So, \(a_{23}\)  will be the element present in the second row and third column.

Since the element in the second row and third column is - 5, so we have

\(a_{23}=-5.\)

Thus, (A) -5 is the correct option.

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