Search results with tag "Inverse matrices"

2.5 Inverse Matrices - Massachusetts Institute of Technology

Solving Linear Equations Calculating A−1 by Gauss-Jordan Elimination I hinted that A−1 might not be explicitly needed. The equation Ax = b is solved by x = A−1b. But it is not necessary or efficient to compute A−1 and multiply it times b. Elimination goes directly to x. And elimination is also the way to calculate A−1, as we now show.

  Linear, Equations, Linear equations, Elimination, Matrices, Jordan, Jordan elimination, Inverse, Gauss, Inverse matrices