If A is a matrix, then what is true about the transpose and complement of A?
- The transpose of the complement of A is equal to -A.
- The complement of the transpose of A is equal to A.
- The complement of the transpose of A is equal to -A.
- None of these
Explanation
The complement of a matrix typically means changing the signs of all its elements.
The transpose involves swapping the rows and columns of the matrix.
Thus, the transpose of the complement of a matrix A is equal to the negative of A, i.e., -A.
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