State and Prove Pick’s Theorem.

Q: Let ā and b = .Find —ӑ — 6. .Find - ӑ > ||

A: We will find -a-b as following.

Q: theorem that proves their similarity. 21. 40 35 45 7. 74

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A is symmetric

A: In this question, we have to check the matrix A is symmetric or not.

Q: a, Find at2

A: Given :…

Q: Show that (u×v)· w = u ·(v×w).

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

Q: If A- A = I, then (4-1) = %3D

A:

Q: find the Zero and order of the Linear trans formation TIRR defined as Teab)=la+bg d-byb)

A:

Q: art J K

A: j) the mode of the data is 11.5 and it is repeated 15 times in the data

Q: Give algebraic proofs of properties (1)u + (-u) = 0 ,(2) (c + d)u = cu+ du

A: Let be a vector such that  Multiply  with -1. Adding the two results,  Thus,is the additive…

Q: State and prove Parsvel's identity.

A:

Q: V. State and prove: Saccherri-legender theorem.(NG) ****

A: State and prove the theorem

Q: State Cayley-Hamilton theorem. Verify Cayley-Hamilton theorem [1 LA 13 1 -1 -1 1

A: Cayley–Hamilton theorem: This theorem states that every square matrix satisfies its own…

Q: Write a two-column proof to show that if WXY ABC, then WXY = ABC. L W A X Given: WXY ABC Prove: ABC…

A: Given ∠WXY≅∠ABC. The objective is to write a two-column proof to show that ∠ABC≅∠WXY. Concept used :…

Q: b, c e R such that abc

A:

Q: Let f:[a,b]→ R. Which of the

A: Given, f:a,b→ℝ. The function f has domain in the interval a,b and has range in set of real numbers…

Q: Let а в %3D Compute e. To be clear, a, B are constants.

A: Given, A=αβ-βα Determine the value of eA.

Q: Are x and y are independent? Verify your answer.

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

Q: ONLY parts G, H, and I please show all work

A: g)  s(t)  =  4 sinπx2Differentiating, we get Velocity function as s'(t)  =  2π cosπx2…

Q: Find the degree of Q(V2, V5) over Q.

A:

Q: the convolution theorem) e" dr re" (b) С (d) L{ / rsin(r) dr re" dr

A:

Q: In ATUV, VT UV and mZU = 32°. Find mZT. %3D

A: Given Data: The triangle is △TUV. The congruent sides are: VT¯≅UV¯ The measure of angle U is:…

Q: 1. State and prove the full version of the Pythagorean Theorem

A:

Q: The inverse of the following Elementary Matrice

A: Follow the procedure given below.

Q: Let R = (6, 5). Calculate the length of OR. ||OR||

A:

Q: Find (a) ATA and (b) AAT. Show that each of these products is symmetric.

A:

Q: Prove Theorem . k(AB) = {kA)B = A{kB)

A: Proof: Given:   Let A and B are matrices of the same order and let k be the scalar.  To prove:…

Q: w wor

A: Here we have to evaluate I=∫ln(sin(x))cos2(x)dx ...................(1)

Q: uppose A is a diagonali= . Would this be true if

A: Given, A is a diagonalizable n x n matrix whose eigenvalues are all 1 or -1.

Q: Prove (A = B) = (A v C) = (B V C)

A:

Q: Use the main theor 't take powers)

A: We have to show that 12 must be the primitive root of 25 by using the main theorem on the primitive…

Q: Find (a) ATA and (b) AAT. Show that each of these products is symmetric.

A: Given, A matrix is,

Q: R. find he Corficient of

A: We need to find coeffiient.

Q: Prove that (AUB)UC = AU(BŪC).

A: To prove that any two sets are equal, we need to prove that the first is a subset of second and the…

Q: а. Complete the basis step of the proof.

A: To prove that:              ∑i=0n2i=2n+1-1  for any nonnegative integer n.

Q: Express w as a linear combination of u and v: ? = (4,1), ? = (−2, −1), ? = (2, −2)

A: Let w = (4,1) u = (-2,-1) v=(2,-2) we can write this as: u-21 + v2-2 = 41   -2u + 2v = 4 u - 2v = 1…

Q: (a) Show that (A B)? + |A X B2 = (AB)? %3D

A: Question a) (A.B) = AB*Cos(x°) (A*B) = AB*Sin(x°) where, x is the angle between vector A and vector…

Q: dr is divergent a true b) false

A: We have to calculate  ∫1∞1x2 dx.

Q: Find conditions on a, b, c, and d such that AB = BA

A:

Q: dat b)

A: Domain =Value of xRange = value of y a. Domain x∈-∞,∞   Range y∈-∞,∞b .Domain x∈-4,3  Range y∈2

Q: Prove Equationally that A, B H A = B.

A: Given:                       A, B ⊢ A≡B To do: Prove the given statement equationally.

Q: es of the matr

A:

Q: what is a phythagoras theorem?

A: Pythagorean Theorem has a right angle triangle.

Q: Find the projection o

A: Introduction: The formula of projection of vector u onto the subspace  w spanned by (x,y) is given…

Q: If A Is diagonalizable then Is diagonallzat Select one: O True O False

A: We will solve the following

Q: A space ship travels at 25 miles per hour and traveled continuously for 211 hours. 4 Enter the…

A:

Q: Find all values of a, b, and c for which A is symmetric,

A:

Q: Prove that (a - b) x (a + b) = 2 a x b and find the geometrical meaning of it.

A: find the explanation below