Section 6.1 Matrices and Systems of Equations

Before Starting this Section, Review

  1. 1 Systems of equations (Sections 5.1 and 5.2)

  2. 2 Equivalent systems (Section 5.2 , page 528)

  3. 3 Gaussian elimination (Section 5.2 , page 529)

Objectives

  1. 1 Define a matrix.

  2. 2 Use matrices to solve a system of linear equations.

  3. 3 Use Gaussian elimination to solve a system.

  4. 4 Use Gauss–Jordan elimination to solve a system.

Leontief Input–Output Model

In 1949, the Russian-born Harvard Professor Wassily Leontief opened the door to a new era in mathematical modeling in economics. He divided the U.S. economy into 500 “sectors,” such as the coal, automotive, and communications ...

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