Redo Problem 5.32, given Note from Problems 5.32 and 5.33 that if the equations are arranged so

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Redo Problem 5.32, givenimage text in transcribed

Note from Problems 5.32 and 5.33 that if the equations are arranged so that in each successive equation the same variables are always placed directly under each other, as typically occurs in ordinary algebra, the coefficients of the first variable will always appear in the first column, the coefficients of the second variable in the second column, and so on. The coefficient matrix can then be formed by simply reading into it, in the order that they appear, the coefficients of the system of equations. Since the coefficients of each equation form a separate row and matrix multiplication always involves row-column operations, always express the variables as a column vector, following the same order in which they appear in the equations. If a particular variable does not appear in a given equation, its equivalent coefficient is 0, which must be included. See Problem 5.39.

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