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.

Question

Mathematics

Alonzo Lewis

29 January, 00:38

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.

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Rambo · Answer 1

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