Prove that (AUB)UC = AU(BŪC).

Q: Prove: APQRe ATSR

A: Given :- ∠QPR≅∠STR and PR ≅TRProve :- ∆PQR≅∆TSR

Q: 3.) Prove (cA)" = cCA) %3D

A: Let A be a m×n matrix so A=(aij)  1≤i≤m and 1≤j≤n ie A has m rows and n columns. By AT we mean…

Q: show that }I f,lm) Ck-m) 2.

A: For, ∑m=0kf1mf2k-m, substitute k-m=n or m=k-n: ∑m=0kf1mf2k-m=∑k-n=0kf1k-nf2k-k-n…

Q: Prove that I(e) = dr, e> 0.

A:

Q: 2 1-X ie 2=tny then prove that da

A:

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

A:

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: det(A) Show that det(AB-') = %3D det(B)

A: Consider, Let A and B be the two n×n matrix, Now Consider, detAB-1 We know that the theorem, Let A…

Q: Since Cov (X, Y) = E [X, Y] -E [X] E [Y]. Obtain Cov (Yi, BO)

A: From the given information, Consider, the regression equation be assumed as given below:…

Q: Assume X, Y CU. Prove that (U \ X) U (U \ Y) = U \ (X n Y)

A:

Q: I show that A= Hermitian

A: As per bartleby guidelines, for more than one question, only 1st one is to be answered. Please…

Q: 5. What is UF, where F = Ø? Prove the correctness of your %3D | computation. answer

A:

Q: Find a non zero unit vecor î that is orthogonal to u1= (1,2,1) and Uz= (2,5,4) in R³.

A: The given vectors are u1=(1,2,1) and u2=(2,5,4) in R3

Q: Use Fermat's Theorem in your proof that Vn E Z>², 2 is irrational. I

A:

Q: prove that the covariant derivate satisfies leibniz's rule

A: The main reason behind the covariant derivative satisfying Leibniz's rule is it maintains chain rule…

Q: 1-a*** a zi i. La 1-a

A:

Q: Prove that: sec a + sec(120° +a)sec(120° – a) = –3 sec 3a

A: To prove that  secα+sec(120∘+α)sec(120∘-α)=-3sec3α

Q: find the values of c that satisfy Rolle's Theorem

A:

Q: Prove Theorem (rA)T = rAT

A: Consider the matrix A=a11a12a13...a1na21a22a23...a2na31a32a33...a3n...............am1am2am3...amn…

Q: Complete a two-column proof. Given: ZRSU VST Prove: ZRSV LUST

A:

Q: Prove that d (sec"x)= 1.

A:

Q: どタ -e -at u Ct) = (a +jwjñ+!

A: To prove that tne-atut↔n!a+jwn+1 It is known that  ut=1 , t>0=0, t<0 Therefore,…

Q: Prove that da(x) = a(b) a(a), %3D |

A: This is a problem from Reimann Stieltzes Integral

Q: Prove that dl = (Vu) x (Vv) - do.

A:

Q: Prove that f, uv v • dỉ = – §̟ vũu • dĩ

A: Whenever the force is conservative in nature the work done over the closed loop is always zero. i.e…

Q: Prove Theorem (AT )T = A

A: Given: Theorem, ATT=A.

Q: Find a non zero unit vecor û that is orthogonal to u1= (1,2,1) and Uz= (2,5,4) in R³.

A: Cross product of two vector is perpendicular to both vectors.

Q: sor model is pur using re ath and up t

A:

Q: Prove that • I %3D

A:

Q: Suppose csc(4) = 2 where A terminates in QIV, and sec(B) = -3 where B terminates in QII %3D

A: Given that                                     we have to find value of…

Q: F(p), then prove that

A: simple use of integral transformation

Q: д(х, у) Find the Jacobian of the Ə(u, v)

A:

Q: Verify that the conclusion of Clairaut's theorem is valid, that is, that uxy = uyx u = x4y3 - y3…

A:

Q: dual of c, is isometric to l'.

A:

Q: Show that [0, o0) and [1, o0) are isometric.

A: We need to show that ,  [0 , ∞)  and  [1 , ∞) are isometric. We know that two metric spaces X and Y…

Q: = 1, prove that 1. If a + u bě+ u Ć +U %3D ди ду du ди du - 2| х +y Əz

A:

Q: Prove that ∫ csc u du = −ln∣csc u + cot u∣ + C.

A: To Prove:-∫cosec(u)du=-ln |(cosec (u)+cot (u) )| +constant

Q: Find a non zero unit vecor ô that is orthogonal to u= (1,2,1) and Uz= (2,5,4) in R³.

A: We have to find a non-zero vector V that is orthogonal to u1=1,2,1 and u2=2,5,4 in R3.

Q: Let 1 an(r) : u(reie)e ino de %3D Prove that:

A: .

Q: Prove that (i) Res (tan z, r/2) = - 1

A: Here,we have to prove that Res(tanz,pi/2)=-1

Q: Show that fi (x) = x, f2(x) = cos 2x are orthogonal on

A: Given that, f1(x)= x, f2(x) =cos2x and interval is [0, 90o] Wehave to find that the functions are…

Q: Which part (Given or Prove) of the proof depends upon the a) hypothesis of theorem? b) conclusion of…

A: (a) Hypothesis of the theorem :             The hypothesis of the theorem is been used for the…

Q: Find scalars s and t so that LU = A.

A: Given: A=2611, L=20t-2 and U=130s. To find scalars s and t so that LU=A. Solution: Finding LU.…

Q: J Prove (An B)' = A' U B'.

A:

Q: Prove that Srxdr = 2[, , da, r × dr =

A:

Q: 4) Show that, in general, (A.B)" = B".AT How is (A.B) related to (B.A) when both tensors A and B are…

A: 4.

Q: Prove: |I| = 1. %3D

A:

Q: Construct AB congruent to XY

A: Given query is to construct congruent segments.

Q: Find a bijection between the interval (−1, 1) and R.

A:

Q: a- if w = f(u, v), u = x + y, v = x-y Prove that = ( - )* aw aw %3D ду du.

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.