Posted by **Devon** on Tuesday, February 6, 2007 at 4:00pm.

What is the determinant of -2 -3

5 0

15

How you get 15

Use the definition of a determinant. From the first column you take take the element that is in the position of a permutation of 1, from the second you take the element that is in the position given by the permutation of 2. Multiply the result by the sign of the permutation and then sum over all possible permutations.

In this case the identity permutation yields zero, while the permutation that interchanges the numbers 1 and 2 yields -15. The sign of that permutation is minus one, so the result is 15.

## Answer this Question

## Related Questions

- algebra - 1 A + (B + C)= (A + B) + C associative scalar quantity dot product 2 2...
- Linear Algebra - Suppose C and D and 5x5 matrices and det(C)=5, det(D)=6. ...
- math - I need help with this problem: finding the instantaneous rate of change ...
- Algebra - I have to compute the determinant of the matrix without using a ...
- algebra-det. - a) Suppose that B is an n กม n matrix, and k is a scalar. Give a ...
- Maths - Question(1):Show that the curve y=x^2-3x-5 passes through the point (5,5...
- Algebra - Can you tell me if these are correct? I am not sure that I understand ...
- economics - Any non-price determinant will have an effect on demand. I really ...
- Algebra 2 - Evaluate the determinant of each matrix. 1 2 3 3 1 0 1 2 1
- Algebra - Evaluate the determinant of the matrix. [-4 5 6 0 4 4 -2 -5 4]

More Related Questions