Let A be a matrix such that A2 is invertible.  Prove that A is invertible.

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Q: 2x₁ +4x₂-5x3+7x₁ = 7 x₂-x₂ + x₁ = 0 2.x, +3,-4x, =-7

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Q: 2x₁ +4x₂ −5x₂ +7x₂ = 7 X3 −X₂ + x₁ = 0 2x₁ +3x3-4x₂ = −7 ¯‚X₁ −X₂ +2x3 + x₂ = 5

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Q: Write down the sequence whose nth term is (i) 2"/n and (ii) [3+ (-1)"]/3".

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