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Amanda [17]
2 years ago
7

True or false: The factor by which a row operation changed the determinant is equal to the determinant of the elementary matrix

corresponding to that row operation.
Mathematics
1 answer:
Klio2033 [76]2 years ago
7 0

The given statement is false.

What is the effect of a row operation on a determinant?

The factor by which a row operation intends to change the determinant is not equal to the determinant of the elementary matrix corresponding to that row operation. Rather, when a row is scaled up by a factor in a matrix, the determinant of that matrix also scales up by that factor.

Similarly, the factor by which a row operation changes the determinant is equal to the factor times the determinant of the elementary matrix corresponding to that row operation.

Learn more about a matrix here:

brainly.com/question/9967572

#SPJ4

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