Question

write five algebraic properties of determinants..........​

Answer 1

Reflection Property:

The determinant remains unaltered if its rows are changed into columns and the columns into rows. This is known as the property of reflection.

2. All-zero Property:

If all the elements of a row (or column) are zero, then the determinant is zero.

3. Proportionality (Repetition) Property:

If the all elements of a row (or column) are proportional (identical) to the elements of some other row (or column), then the determinant is zero.

4. Switching Property:

The interchange of any two rows (or columns) of the determinant changes its sign.

5. Scalar Multiple Property:

If all the elements of a row (or column) of a determinant are multiplied by a non-zero constant, then the determinant gets multiplied by the same constantly

hope it helps you

Answer 2

Step-by-step explanation:

Important Properties of Determinants

Reflection Property: The determinant remains unaltered if its rows are changed into columns and the columns into rows. ...

• All-zero Property: ...
• Proportionality (Repetition) Property: ...
• Switching Property: ...
• Scalar Multiple Property: ...
• Sum Property: ...
• Property of Invariance: ...
• Factor Property: