[ECON 337] - Final Exam Guide - Ultimate 36 pages long Study Guide!

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For any entry the minor is the 2-by-2 determinant formed by deleting the row and column of the entry in question. 5 the minor for the entry 2 is. 47 and the minor for the entry 1 is. The matrix of cofactors is found by changing every second sign in the matrix of minors. For the example, the matrix of cofactors is. The adjoint is the matrix of cofactors transposed. When the original matrix is multiplied by the adjoint, the result will look like. If the determinant is zero, the original matrix is said to be non- invertible, or singular. If the determinant is not zero, then the inverse of the original matrix is. Remember that for symmetric matrices you get a lot of free ones. Find the inverses and determinants of the following matrices: Use the inverses of 1d) and 1e) to solve the following systems:

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