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
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.
Jan 01, 2016
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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 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
Find the Inverse12 1
1 3A
Find the Inverse
6 2
2 1A
Find the Inverse
4 2 3
8 3 5
7 2 4
A
Find the Inverse
2 2 0
0 2 0
3 0 1
A
2.5 The Gauss-Jordan Method for Calculating Inverses
• Problems to complete:Pg. 101 #1, 3, 4, 7
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