2. (a) Show with an example that the dyadic product is not commutative. In other words, u O v = v u Vu, v e V is not true.

Q: Evaluate (2z + z – i) dz J|z-il=1

A:

Q: 25. Show that |v|u + Ju|v and |v|u – |u| v are orthogonal.

A: Two vectors are orthogonal if their dot product is zero. If the dot product of two vectors is zero,…

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A:

Q: Suppose that || u|| = 2, || v|| = 1 and u v = 1. Compute || 3u - 2v||2 %3D

A: Given u = 2,  v = 1 and u·v = 1. We have to compute  3u-2v2.

Q: Prove that c(u × v) = cu × v = u × cv.

A:

Q: 4. Prove that (À x B) - (B x C) x (C x A) = [AB %3D

A: The solution is given below.

Q: Suppose that Mrs. Jena (in the position of T) want to travel to the top of regions diagonally right…

A: To find the number of route to reach the top of the region :-

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A: As we know that, Multiplication is an Associative Property, i.e. (a x b).c=a.(b x c) and Sometimes…

Q: If u xv=uxw and u ‡ ♂, then u = w.

A: The given statement is: If u×v=u×w and u≠0→, then u=w

Q: 2) Let R' real numbers, define = x,Y1 + 3x2y; + 5x3y3 for x = (x, X2, X3) and y (y,Yz, Y3). Is…

A: Given x=x1,x2,x3, y=y1,y2,y3 in ℝ3. Define x,y=x1y1+3x2y2+5x3y3

Q: 9. Show that the function (-, -) : IR² × R² → IR defined by setting = #1#2 + 2x12 + 2y1*2 + 8y1Y2 /2…

A:

Q: In rank - sign test, the null hypothesis u = µo can be rejectedin favor of %3D the alternative u < u…

A: Signed rank test HypothesisHo:μ=μ¯oHo:μ&lt;μ¯oWe reject the null hypothesis if W+≤Wαwe reject  the…

Q: If xly then gcd(x,y) = y. إختر واحدا:

A:

Q: dik koordinatylarda x,y öyleki x kare artı y kare küçüktür beş denkleminin grafiğini çiziniz

A:

Q: If U(x,y)=In(x²-y³) then U+Uy= . O (2x+2y)/ x^2+y^2 O (2x-2y)/ x^2+y^2 O (2x-xy)/ x^2+y^2

A: Let's find.

Q: (d) Compute the cross product (0, 2, 1) × (1, 3, 1).

A:

Q: Which elements are invertible in Z4[x,y]?

A: W need to find elements which are invertible inZ4x,y.

Q: mple. Compute AB and BA where 1 -1 A = %3D B = -2 2 3 4

A:

Q: dz Let z-ay" – 4r, * = uv and y-v - 3u. Compute Ən (u,r)-(1,1) -

A:

Q: Verify that the operation {x, y} = x1y1 − x1y2 − x2y1 + 3x2y2 where x = (x1, x2) and y = (y1, y2) is…

A: Given : The operation on ℝ2 is defined as  x, y = x1y1 - x1y2 - x2y1 + 3x2y2 ,  where x = (x1 , x2)…

Q: 3. Show that the action of C4(2) operator gives Ca(2) (X1, Y1, Z1) = (-yı,X1, Z1)

A: Consider this four-fold rotation around the z-axis. The effect of this operation on x,y,zis given by…

Q: 6) MLATU = 45°, mZSTU = 120x – 1, and mZSTA = 73x + 1. Find x. %3D %3D T. U A

A:

Q: Let w = -4xy – 5yz – 4xz, x = st, y = et, z = t Compute (3,4) = as (3,4)%3D at

A:

Q: 3. prove that: det (AB) = det (A) det (B) a - (; ), » - ( ) 2 -1 7 2 B = 2 в 3 %3D

A:

Q: Justify is it true or false? It is possible for variables to have r=0 but still have a strong…

A: If the relationship is linear between variables, then r = 0 means that there is no correlation…

Q: Verify that (AB)" = BT AT %3D التحق ق 3 2 4 2 1 3 A = 2 1 B =1 2 5 4 2 3 0 2 1

A:

Q: Define the det product ICl=C_ d s à and B, which ane glven as A=An T'+ Ay+ Az and B Bx?+ By BzP in…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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A: Given that f(x,y,z)=xyz-x2z+yz2. We need to find : i)fxz. ii)fzz.

Q: @ Let A -a Find Cenditiens on a,b.c and d that AX =o has infailely many Solution. what must there…

A:

Q: Which is the most famous theorem of pierre de fermat?

A: To tell which is the most famous theorem of Pierre de fermat

Q: Is 1z = 1 for all z ∈ C?

A:

Q: If A is diagonalizable, then A is similar to D. Select one: O True O False

A: Given   if matrix a is diagonalizable then A is SIMILAR  to D

Q: How is the Jacobian formulated?

A:

Q: A company produces three different products; x,y, and z. For the production of 1 unit of product x,…

A: Tabulate the given information as follows,

Q: If U(x,y)=In(x²-y³) then U+Uyy= ....... ....

A: The solution is given as

Q: 9. Using the fact that ||u|| = 2, ||v|| = 3, and u x v = (-1,5, 1), find u · v.

A: You have asked multiple  questions and not mentioned  which questions answered you need , so…

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A:

Q: Prove that u × (v + w) = (u × v) + (u × w).

A: Here the objective is to prove that

Q: 10. Show that 1/x, x are linearly independent on (0, 0).

A:

Q: Show that if X gamma(r, A) and Y ~ gamma(s, ) independent, are then X + Y is gamma(r + s, ).

A: X~Gammar,λ fx=λrΓre-λxxr-1,     x&gt;0, r&gt;0, λ&gt;0 Y~Gammas,λ fy=λsΓse-λyys-1,     y&gt;0,…

Q: If U(x,y)=In(x²-y) then Ux+Uyy= O (2x+2y)/ x^2+y^2 O (2x-2y)/ x^2+y^2 O (2x-xy)/ x^2+y^2

A: Uxx+ Uyy of the function U

Q: In C[-1,1], with the standard inner product f(x)=ex and f(x)=e−x are orthogonal. true or false?

A: true please see explanation in step 2

Q: "(2) is also analytic, and hence its

A:

Q: (x, y) = x¹ 3 1 0 120 001 y, x, y = R³

A: The function &lt;x,y&gt; will be inner product if  1) Non negetivity: &lt;x,x&gt; ≥ 0, for all x and…

Q: If a = i + j + 5k and b = i + j + 3k, compute the cross product aXb

A: We have to find cross product

Q: A company produces three different products; x,y, and z. For the production of 1 unit of product x,…

A: Make a table as follows    x y z Availability A 1 1 1 40 B 1 2 0 20 Sale price 10 15 12…

Q: A company produces three different products; x,y, and z. For the production of 1 unit of product x,…

A: Make a table for the given data as follows    x y z Availability       A 1 1 1 40       B 1 2…

Q: 5. Define the terms : Skewness and Kurtosis.

A: In statistics there are two types of measures namely measures of central tendency and…

Q: Prove that fdr %3D dSxVf

A: