6. Prove that if A is invertible and AB = 0, then B = 0.

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A: Please refer below pages.If you have any doubts please feel free to ask.Explanation:Step 1:

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Q: 1. Solve u₁ = kuxx; u(x, 0) = e¯x; u(0, t) = 0 on the half-line 0 < x < ∞.

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