Question

Click on the statements that are true. All replacement matrices have determinant 1. It is impossible for a swap matrix and a scale matrix to have the same determinant. There is an elementary matrix whose determinant is 0. The n × n elementary matrix realizing the scaling of a single row by a factor of α has determinant α n . The determinant of any swap matrix is -1. It is impossible for a swap matrix and a replacement matrix to have the same determinant.

Answer 1

Answer:

The three given statements are true as below

• It is impossible for a swap matrix and a replacement matrix to have the same determinant

• There is an elementary matrix whose determinant is 0.

• The n×n elementary matrix realizing the scaling of a single row by a factor of α has determinant αn.

Step-by-step explanation:

To click on the given statements which is true :

The three given statements are true as below

• It is impossible for a swap matrix and a replacement matrix to have the same determinant

• There is an elementary matrix whose determinant is 0.

• The n×n elementary matrix realizing the scaling of a single row by a factor of α has determinant αn.

Option 2),3) and 5) are correct