2.5 The Gauss-Jordan Method for Calculating Inverses Finding Inverses When the matrix is a 2 x 2,...
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2.5 The Gauss-Jordan Method for Calculating Inverses Finding Inverses • When the matrix is a 2 x 2, the inverse is easy to find using the determinant. • What if the inverse of a larger square matrix needs to be found? • That is when G-J needs to be performed with the original matrix and How this works… • You set up the process to look like: • Then do row manipulations until it looks like: • What is the inverse of an inverse matrix? AI 1 I A 1 1 A A
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Transcript of 2.5 The Gauss-Jordan Method for Calculating Inverses Finding Inverses When the matrix is a 2 x 2,...
2.5 The Gauss-Jordan Method for Calculating Inverses
Finding Inverses• When the matrix is a 2 x 2,
the inverse is easy to find using the determinant.
• What if the inverse of a larger square matrix needs to be found?
• That is when G-J needs to be performed with the original matrix and Identity matrix side by side.
How this works…• You set up the process to
look like:
• Then do row manipulations until it looks like:
• What is the inverse of an inverse matrix?
A I
1I A
11A A