Show why the product {[x1, x2], [yı, y2]} = xıy2 does not satisfy the conditions for an inner product in R^2.

Q: Use the inner product (p, q) = abo + a,b, + a,b, to find (p, q), ||p ||, ||9||, and d(p, q) for the…

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Q: Use the inner product (p, q) = aobo + a₁b₁ + a₂b₂ to find (p, q), ||pl|, |la||, and d(p, q) for the…

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Q: Find the product. SHOW ALL WORK clear 10

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Q: Show that 1 + i is a root of x* - x' + x2 + 2. Use this fact to decompose the polynomial into a…

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Q: Use the inner product (p, q) = abo + a,b, + a,b, to find (p, q), ||p ||, ||9||, and d(p, q) for the…

A: Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: Let F = (16xy, (8x^2 + 8z^2), (8y*2z)). What is the curl of F?

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Q: Prove S^2 is simply connected.

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Q: why the minimal polynomial x^2 - (1+sqrt(2)) does not split into linear factors over K?

A: Let K be a field  . Then a polynomial f(x)∈K[x] splits into linear factors in K if K contains all…