# Answer to Question #24299 in Linear Algebra for Matthew Lind

Question #24299

Prove these assertions concerning the effects of row operations on the determinant:

1) multiplying one row by k multiplies the determinant by k.

2) interchanging two rows changes the sign of the determinant.

3) adding to one row a multiple of another row has no effect on the determinant.

1) multiplying one row by k multiplies the determinant by k.

2) interchanging two rows changes the sign of the determinant.

3) adding to one row a multiple of another row has no effect on the determinant.

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