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Determinant Properties

Last updated over 6 years ago

4 questions

Let A be a 10x10 matrix such that det(A) = 20.

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Question 1

1.

If B is obtained from A by multiplying row 9 of A by 3, then what is det(B)?

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1

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Question 2

2.

If C Is obtained from A by interchanging rows 1 and 2, then what is det(C)?

Question 3

3.

If D is obtained from A by replacing row 5 by (2 row 5 + row 3), then what is det(D)?

Question 4

4.

If F is obtained from A by replacing row 3 by (row 3 + 3 row 1), then what is det(F)?