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Inverse

  • Definition: If A is an n X n matrix, an inverse of A is an n X n matrix A’ with the property that AA’ = I and A’A = I where I = I_n is the n X n identity matrix. If such an A’ exists, then A is called invertible.

    Source: Linear Algebra: A Modern Introduction, 3rd edition by David Poole (note-custom edition titled Matrix Algebra)

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