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A. Scaler matrix
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B. Square Matrix
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C. Rectangular matrix
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D. Diagonal Matrix
Explanation
The transpose of a square matrix is also a square matrix.
The transpose of a matrix is obtained by swapping its rows with its columns, and this operation preserves the square shape of the matrix.
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A. The transpose of the complement of A is equal to -A.
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B. The complement of the transpose of A is equal to A.
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C. The complement of the transpose of A is equal to -A.
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D. 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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