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Matrices - Inverse of a 2  2 Matrix

Matrices - Inverse of a 2  2 Matrix. To find the inverse of a 2  2 matrix, use the following pattern. Let matrix A be given by. Then the inverse of A is given by. Negative of each entry. Switch entries. Matrices - Inverse of a 2  2 Matrix. Example 1:

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Matrices - Inverse of a 2  2 Matrix

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  1. Matrices - Inverse of a 2  2 Matrix • To find the inverse of a 2  2 matrix, use the following pattern. • Let matrix A be given by ... • Then the inverse of A is given by ...

  2. Negative of each entry. Switch entries. Matrices - Inverse of a 2  2 Matrix • Example 1: • Find the inverse of • matrix A where ... Slide 2

  3. Matrices - Inverse of a 2  2 Matrix • As a check, multiply A and A-1 ... • Since the result of the product is the identity matrix, the matrices are inverses. Slide 3

  4. Matrices - Inverse of a 2  2 Matrix • Example 2: • Find the inverse of • matrix B where ... • But this is impossible since the denominator is zero! • Thus, B-1 does not exist. Slide 4

  5. Matrices - Inverse of a 2  2 Matrix END OF PRESENTATION Click to rerun the slideshow.

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