which of the following matrices are equal?\n0 9 6\n1 2 1\n1 0\n2 9\n1 6\n0 9 6\n1 2 1\n1 2 1\n6 9 0\ndone

Explanation:

Step1: Recall matrix - equality condition

Two matrices are equal if they have the same dimensions and their corresponding elements are equal.

Step2: Analyze dimensions and elements

The first matrix is $\begin{bmatrix}0&9&6\1&2&1\end{bmatrix}$, which is a $2\times3$ matrix. The second matrix $\begin{bmatrix}1&0\2&9\1&6\end{bmatrix}$ is a $3\times2$ matrix. Since the dimensions ($2\times3$ and $3\times2$) are different, it cannot be equal to the first matrix. The third matrix is $\begin{bmatrix}0&9&6\1&2&1\end{bmatrix}$, which is also a $2\times3$ matrix and has the same elements in the same positions as the first matrix. The fourth matrix $\begin{bmatrix}1&2&1\6&9&0\end{bmatrix}$ is a $2\times3$ matrix, but its elements are not in the same positions as the first matrix.

Answer:

The first and the third matrices are equal.