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Q: Prove that AAB = (AU B) - (An B),

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Q: 19find all zeroS fx)=x3 +Hx*tX +H

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Q: Suppose Duf(xo, Yo) exists. Show that Duf(xo, yo) = - Duf(xo, yo).

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Q: Find an integer coefficient cubic that has x = 1 and x = 2+ /3 as zeros.

A: Given: The two zeros of a cubic polynomial are x=1 and x=2+3.

Q: Show that Sn is solvable when n ≤ 4.

A: Given: Sn. We have to show that Sn is solvable when n≤4.

Q: .A. Find the domain of the tollowling Fune tions :- 1. Fex) = V4-12X

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: [t +3 If A = -1 6. t- 3 -6 one of the following must be true? 1 t+ 4] A) The rank is 3 ift#-4, B)…

A: Rank of the Matrix, and it's properties

Q: @ (3.+j4)*

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: If A and B are orthogonal, is A+B also orthogonal?  Can you demonstrate Algebraically using A + B =…

A: Solution: Given-   A and B are Orthogonal matricesTo show:  (A+B)  is OrthogonalSince, A and B are…

Q: Let u (9, 9, 8) and = (-9, -1, - 8). = Find proj, (u). -

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Q: for the discrimanat here dont we do (Uxy)^2-(Uxx*Uyy)

A: Please see the below picture for detailed solution.

Q: Show that J74) LOSK +Sinn 2. %3D TIX

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Q: Find the Re and Im parts of exp(z?)

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Q: Let z be a standard normal random variable with mean μ = 0 and standard deviation = 1. Use Table 3…

A: given data  standard normal distribution μ = 0σ = 1Z~N(0,1) (A) P(-1<Z<1) = ? (B)…

Q: xʻy Let f (x, y) = if (x, y) # (0,0) and f (0,0) = 0. (x4+6y8) r4.

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Q: a) Calculate the 4th roots of (5-j3)

A: The objective is to calculate the 4th roots of (5-j 3).

Q: how did the y' and 2y' apearred out of no where in line 7

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Q: 10. Let ā = (1,2) and b= (2,1). Find projz(ā). Then show that ā– projz(ā) is orthogonal to b…

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Q: actortise the expression: a^(2)+by^(2)+bxy +axy

A: Given expression: ax² + by² + bxy + axy

Q: List all cosets of (([1]3, [2]6)) in Z3 × Ze

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Q: C Show that dim 9 (√2, 3²/3) = Q(

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Q: Find all the roots of z4 + 1= 0 and use them to show that z4 +1=(z² – /2z +1)(z² + v2z + 1) -

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Q: Compute (2sin z -) ) da Show work but don't simplify.

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Q: Find a number z (except 0) such that Az³ + Bz²+ Cz = D 2 1 3 0 -2 -4 00 ^-[ ] ³-R2 :]-[+]-[1] B= 1 2…

A: Solution

Q: E Show that x'+ 3x+ 2 has 4 zerosin Ze

A: