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.

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

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