Section 3.4

Solving Matrix Equations with Inverses

Multiplicative inverses are useful for solving simple algebraic equations. For instance, the equation 2x = 6 may be solved by multiplying both sides of the equation by the multiplicative inverse of 2. When we do this, we get 12(2x) = 12(6). Since 12·2 = 1, the solution of the equation is x = 3.

In this section, we’ll learn how to write a system of linear equations as a matrix equation AX = B. This matrix equation is solved by multiplying both sides by an inverse matrix. This allows us to solve systems of equations with a strategy different from the matrix methods we used in Chapter 2.

Read in Section 3.4

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