MAC1106 Study Guide - Quiz Guide: Gabriel Cramer, Determinant, Augmented Matrix

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Provide a generalization to each of the key terms listed in this section. A matrix is a rectangular array of numbers, which can be explain by the following array: Column 1 column 2 column 3 column j column n. Row m a11 a21 a31 ai1 am1 a12 a22 a32 ai2 am2 a13 a23 a33 ai3 am3 a1j a2j a3j aij amj a1n a2n a3n ain amn. Augmented matrix of a system of linear equations. An augmented matrix is when you have a system of linear equations written as a matrix by writing. [only] the coe cients and even the constants that appeared in the original equations. Matrix method for solving a systems of linear equations. 1: next, perform the row operations that place the entry 1 in [row 2, column 2], but then leave the entries in the columns to the left highly unchanged.