The greatest value of a e R, for which the following system of linear equations has a non-trivial solution, is х-ау — az %3D 0, ах — у + az 3 0, | ax + ay – z= 0.

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Q: Use Mathematical Induction to prove that for all n eN with n > 2, 1 1 + + 2.3 1 +... + 1 n 1 - 1.2 3...

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Q: Question Prove that if AUB= A is true, then ANB = B is also true, AND CONVERSELY. %3D

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Q: Consider the vector field F = p? + yzi+ + In(s* + :² + 1)k „j + In(=* + :² + 1)k 12 + y²" defined on...

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Q: 2.) Determine the products C = AB and D = BA if 4 3 -5 2 7 6 -7 -5 A = 1 B -9 -13 -4 -3 11

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Q: 5. Зх - 2у %3D 12 7x + 2y = 8 х %3D 2, у 3D —3

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Q: Prove or disprove formally and precisely that the product of two consecutive integers is always even...

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