Question

Properties of determinants ​

Answer 1

Answer:

There are different properties of determinants that enables us to calculate determinants easily. For example, one of the property is that if all the elements of any row or column of matrix are equal to zero then determinant of such a matrix is equal to zero. Another

property is that if any two rows or columns of a given matrix are identical then determinant of such a matrix is also equal to zero. There are other bunch of properties which are very important to know regarding calculating determinants of matrices. Go through the files present below. I have provided example related to each property for better understanding

Answer 2

Answer:

1. If every element of a row (or column )of a square matrix A is zero, then |A| =0

1. If every element of a row (or column )of a square matrix A is zero, then |A| =02. A determinant remains unaltered if the rows are changed into columns or vice versa

1. If every element of a row (or column )of a square matrix A is zero, then |A| =02. A determinant remains unaltered if the rows are changed into columns or vice versa3. If two rows( or columns )of a determinant are interchanged, the sign of the determinant will be changed

1. If every element of a row (or column )of a square matrix A is zero, then |A| =02. A determinant remains unaltered if the rows are changed into columns or vice versa3. If two rows( or columns )of a determinant are interchanged, the sign of the determinant will be changed4. If two rows( or columns) of a determinant are identical, the value of determinant will be zero

1. If every element of a row (or column )of a square matrix A is zero, then |A| =02. A determinant remains unaltered if the rows are changed into columns or vice versa3. If two rows( or columns )of a determinant are interchanged, the sign of the determinant will be changed4. If two rows( or columns) of a determinant are identical, the value of determinant will be zero5. If all the elements of one Row(or column) of a determinant is multiplied by a constant 'k' the value of new determinant will be'k' X the value of original determinant

1. If every element of a row (or column )of a square matrix A is zero, then |A| =02. A determinant remains unaltered if the rows are changed into columns or vice versa3. If two rows( or columns )of a determinant are interchanged, the sign of the determinant will be changed4. If two rows( or columns) of a determinant are identical, the value of determinant will be zero5. If all the elements of one Row(or column) of a determinant is multiplied by a constant 'k' the value of new determinant will be'k' X the value of original determinant6. If to each element of a row (or column) the corresponding elements of another row(or column)multiplied by a constant is added,then the value of determinant remains unaltered