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Mathematics, 12.03.2020 05:10 smartie80

You try to calm them down, saying "Don’t worry, the matrix also satisfies PA = I, and therefore P is the inverse of A just like you wanted. I’ll prove it to you..." Your proof consists of the following two steps (fill in the details as your answer to this question): Step 1: Argue that your matrix P is the unique Q ∈ R n×n satisfying AQ = I. Step 2: Prove that PA = AP = I. (Hint: consider the matrix A(P+PA−I))

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You try to calm them down, saying "Don’t worry, the matrix also satisfies PA = I, and therefore P is...
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