Final answer:
The order of the matrix (0 i i 0) is 2.
Explanation:
To determine the order of the matrix (0 i i 0), we consider the number of distinct rows or columns that are linearly independent. For a matrix to have a non-zero order, it must have at least one non-zero row or column.
Here, the given matrix has two distinct rows. While both columns are identical, they are linearly independent. Therefore, the order of the matrix is 2.
The matrix has two rows that are not scalar multiples of each other, indicating linear independence. The columns, though identical, still constitute two linearly independent columns. Thus, the matrix order is determined by the number of linearly independent rows or columns, resulting in an order of 2.