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F10PracMidt2nosol - M341 0 Midterm 2 November 5th First...

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M341, Fall 07, 60180. Midterm 2, November 5 th . First Name ......................... Last Name (PRINT) ............................... - Calculators are authorized. Books, hand written notes or other documents are not authorized. - Show all your work. If you use a calculator, you are not waived of the intermediary computations that are still to be shown. - Explain every answer, either by a computation, or by using a theorem. Cor- rect results with no explanation will not be taken into account. - Freely use both sides of the sheets. - Put your name on any additional or unstapled sheet. - Good Luck. Problem 1. 1) Compute the determinant of the matrix: A = 3 2 - 1 1 6 3 2 - 4 0 . Is A invertible and why? 2) What is the adjoint or adjugate matrix of A ? (Show all your work. A correct expla- nation of what is a cofactor and what is the adjoint matrix will redeem small computational mistakes.) What is the inverse of A ? 3) Compute the inverse of A by a row reduction method. Depending on the length of the midterm, I may ask the computation by only one method. In that case I may or may not give you the choice of the method.
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