Can we interchange any two rows or any two column of matrix? Will there be any change in its value?
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Can we interchange any two rows or any two column of matrix? Will there be any change in its value?
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Answer:
If two rows (columns) in A are equal then det(A)=0. If we add a row (column) of A multiplied by a scalar k to another row (column) of A, then the determinant will not change. If we swap two rows (columns) in A, the determinant will change its sign.
Step-by-step explanation:
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Answer :
If two rows (columns) in A are equal then det(A)=0. If we add a row (column) of A multiplied by a scalar k to another row (column) of A, then the determinant will not change. If we swap two rows (columns) in A, the determinant will change its sign. det(A)=det(AT).
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