2.2 The Inverse of a Matrix

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2.2 The Inverse of a Matrix
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Defn Invertible (Nonsingular) Matrices
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Is B the inverse of matrix A?
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Theorem 4


Example
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Theorem 5
Proof
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Example Use the inverse of the matrix to solve
the system
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Theorem 6 Useful Facts about Invertible
Matrices 1. If is an invertible matrix,
then is invertible and 2. If and
are invertible matrices, then so
is and 3. If is an invertible
matrix, then so is and
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Theorem 7


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How to find

Example Find the inverse of