Determinant of a matrix changes its sign if we interchange any two rows or columns present in a matrix. We can prove this property by taking an example. We take matrix A and we calculate its determinant (|A|). … [Continue reading]
Determinant of Matrix is equal to Determinant of its Transpose
If, we have any given matrix A then determinant of matrix A is equal to determinant of its transpose. We can prove this by taking variable … [Continue reading]
What is the determinant of a matrix if all the elements in a row or column are zero?
If in a given matrix, we have all zero elements in a particular row or column then determinant of such a matrix is equal to zero. … [Continue reading]
Determinant of a Matrix having one row (column) multiple of another row (column) is equal to 0
If, we have any matrix in which one of the row (or column) is multiple of another row (or column) then determinant of such a matrix is equal to zero. We can prove this property by taking example of such a matrix and finding its determinant. It is one … [Continue reading]
Determinant of Skew-Symmetric Matrix is equal to Zero if its order is odd
It is one of the property of skew symmetric matrix. If, we have any skew-symmetric matrix with odd order then we can directly write its determinant equal to zero. We can verify this property using an example of skew-symmetric 3x3 matrix. We can find … [Continue reading]
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