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Properties of determinants (Part 2) | Determinants Class 12
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Properties of determinants (Part 2) | Determinants Class 12
There are six properties of determinants:
1. The value of the determinants remains unchanged if its rows and columns are interchanged.
2. If any two rows (or columns ) of a determinant are interchanged, then sign of determinant changes.
3. If any two rows (if columns ) of a determinant are identical (all corresponding elements are the same), then the value of the determinant is zero.
4. If each element of a row (or a column) of a determinant is multiplied by a constant k, then its value gets multiplied by k.
5. If some of all elements of a row or column of a determinant are expressed as a sum of two (or more) terms, then the determinant can be expressed as a sum of two (or more) determinants.
6. If to each element of any row or column of a determinant, the equimultiples of corresponding elements of other rows (or columns) are added, then the value of determinant remains the same, i.e., the value of determinant remains same if we apply the operation.
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There are six properties of determinants:
1. The value of the determinants remains unchanged if its rows and columns are interchanged.
2. If any two rows (or columns ) of a determinant are interchanged, then sign of determinant changes.
3. If any two rows (if columns ) of a determinant are identical (all corresponding elements are the same), then the value of the determinant is zero.
4. If each element of a row (or a column) of a determinant is multiplied by a constant k, then its value gets multiplied by k.
5. If some of all elements of a row or column of a determinant are expressed as a sum of two (or more) terms, then the determinant can be expressed as a sum of two (or more) determinants.
6. If to each element of any row or column of a determinant, the equimultiples of corresponding elements of other rows (or columns) are added, then the value of determinant remains the same, i.e., the value of determinant remains same if we apply the operation.
Matrices class 12th playlist
Connect With Us:
#cbse #math #ncertmathsoution
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