Let's examine each of the given matrices to determine if any are equal to the original matrix [tex]\(\left[\begin{array}{ccc}-6 & -6.5 & 1.7 \\ 2 & -8.5 & 19.3\end{array}\right]\)[/tex].
1. Matrix A:
[tex]\[
\left[\begin{array}{cc}
6 & 2 \\
6.5 & 8.5 \\
1.7 & 19.3
\end{array}\right]
\][/tex]
This matrix is a [tex]\(3 \times 2\)[/tex] matrix, whereas the original matrix is a [tex]\(2 \times 3\)[/tex] matrix. Therefore, Matrix A cannot be equal to the original matrix.
2. Matrix B:
[tex]\[
\left[\begin{array}{cc}
-6 & 2 \\
-6.5 & -8.5 \\
1.7 & 19.3
\end{array}\right]
\][/tex]
This matrix is also a [tex]\(3 \times 2\)[/tex] matrix, which is not the same structure as the original [tex]\(2 \times 3\)[/tex] matrix. Hence, Matrix B cannot be equal to the original matrix.
3. Matrix C:
[tex]\[
\left[\begin{array}{ccc}
6 & 6.5 & -1.7 \\
-2 & 8.5 & -19.3
\end{array}\right]
\][/tex]
This matrix is a [tex]\(2 \times 3\)[/tex] matrix like the original one, but the elements in the corresponding positions do not match those in the original matrix. Therefore, Matrix C cannot be equal to the original matrix.
4. Matrix D:
[tex]\[
\left[\begin{array}{ccc}
-6 & -6.5 & 1.7
\end{array}\right]
\][/tex]
This matrix is a [tex]\(1 \times 3\)[/tex] matrix, which also does not match the [tex]\(2 \times 3\)[/tex] structure of the original matrix. Matrix D cannot be equal to the original matrix.
Upon careful examination, none of the provided matrices are equal to the original matrix [tex]\(\left[\begin{array}{ccc}-6 & -6.5 & 1.7 \\ 2 & -8.5 & 19.3\end{array}\right]\)[/tex].
Therefore, the answer to the question is:
None of the matrices are equal to the original matrix.
