PrathameshR
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Let's say A is a singular matrix. Will the transpose of this matrix be always singular? If so why?
Singular Matrices: Transpose & Its Impact
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WubbaLubba Dubdub
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Determinant of A is equal to the determinant of the transpose of A.
Since A is singular, det(A) = 0 which implies det(transpose of A) =0 and hence, transpose of A will also be a singular matrix.
Since A is singular, det(A) = 0 which implies det(transpose of A) =0 and hence, transpose of A will also be a singular matrix.
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