(a) A = 0 0 0 0200 0003 0040, 1 Given a multilinear, alternating and normalised map f: M(4 x 4, R) → R, what is f(A)?

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Q: 5. Let U = {(u1, U2, U3) E R3³|u₁ + u2u3 = 0} and V = {(v₁, V2, V3) E R³|v1 - 302 +503 = 0}. (a)…

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Q: Provide a direct proof for the argument. For every real numbers b and c, c≠0, |b/c|=|b|/|c|.

A: Please see the attachment

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Q: 12. Find x if MR bisects NMP, m1 = 6x-9, and m42 = 4x+13. N

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A: The details are attached as step 2.

Q: Exhibit a Sylow 2-subgroup of S4. Describe an isomorphism fromthis group to D4.

A: It is given that a Sylow 2-subgroup of S4. So, we have, S4=4!=24=3×23. let k be a Sylow 2-subgroup…

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A: We have given a gompertz differential equation, dpdt=4P17-lnP) , P0=100 We need to find what is the…