Recent content by perihelion

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    When is the Determinant of a Square Matrix Equal to Its Negative?

    Homework Statement Suppose A is a square matrix of size n. When is det(-A) = -det(A)? Homework Equations N/A The Attempt at a Solution My approach to the problem is to simply multiply the size n identity matrix by -1, then multiplied by A. For example...
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    Basic Calculus Questions - polar integration and roots

    Thanks, but I was feeling that maybe I was overlooking something. At this point I just stopped. \int_0^\theta x^a dx\ =\ (\theta^(a+1))/(a\ +\ 1)
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    Basic Calculus Questions - polar integration and roots

    It's been a while since I studied calculus and basically I have a review sheet for a course I'm taking, but not a graded assignment. So, I was hoping if anyone knew a resource to point me in the right direction with a couple of problems: \int_0^\theta x^a dx Where a is not an element...