MAT 211 Study Guide - Midterm Guide: Gaussian Elimination, Determinant

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Here is what mr. seal posted on his website as of april 1, 2009: Given a 2x2 system: solve using substitution methods, row reduction methods, cramer"s. Rule, use of inverse of a 2x2 matrix. Given a 3x3 system: solve with gaussian elimination and cramer"s rule, finding determinants of a 3x3 systems. Find a inverse of a 3x3 system using gauss elimination and further using adjoint methods. Here are screenshots of mr. seal"s notes on gaussian elimination (his notes are posted on his website): Basically you replace b in the first column of x, the second column of y, and the third column of z for all the numerators. The denominator is always the inverse of a for both x,y, and z. Row 1 x column 1 = top left # Row 1 x column 2 = top middle # Row 1 x column 3 = top right # Row 2 x column 1 = middle left #