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Determine whether each statement is true or false:

a. Adding a multiple of one column of a square matrix to another column changes only the sign of the determinant.
b. Two matrices are column-equivalent when one matrix can be obtained by performing elementary column operations on the other.
c. If one row of a square matrix is a multiple of another row, then the determinant is 0.

Respuesta :

Answer:

a. False

b. True

c. True

Step-by-step explanation:

The statement a is false and the other two statements are true. Adding a multiple of one column not only changes the sign of the determinant but also the variables are changed. When two rows of square matrix are equivalent then the determinant is zero which means when one row is multiple of another row the determinant is zero.

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