How many collisions happen (over the entire time, i.e. in the future and in the past together) in a system of n identical billiard balls moving with different speeds in an infinite 1-dimensional billiard?

Q: 20. Let 1 0 −1 2 1 3 -1 A = -2 1 4 -1 3 3 -1 -5 1 -6 (a) Find a 5 x 5 matrix M with rank 2 such that…

A: Let .(a) Find a  matrix  with rank 2 such that , where  is the  zero matrix.

Q: and

A: according to guidelines we can solved only first question thank you.   According to given…

Q: LA company has two machines. During any day, each hine that is working at the beginning of the day…

A: Let us define the markov process Xt as the number of machines working at the beginning of the day…

Q: Convert into a system of first-order equations. a) ○ [*1*₂*2= x=x₁2x₂-x₂ + cos(4 t) b) [x12x2x3 x3x₁…

A:

Q: Is it possible that all solutions of a homogeneous system of nine linear equations in twelve…

A:

Q: [-2 6 4 -1 x = 0. -1 -3 1 1

A:

Q: AX = B is a matrixial representation of a lineal system of equations. Over the augmented matrix (…

A: Here we have to choose the correct option.

Q: Gauss-Jordan elimination is used to solve systems of n equations in n variables that have many…

A: We have to state that the given statement is true or false.

Q: 7. A quadratic-quadratic system of equations can have no solution, infinite solutions and two other…

A:

Q: -> 16 13. Solve the system

A: This problem can be solved easily by the substitution method.

Q: a) If A = then tr(A) = 16. b) If A and B conform for multiplication in either order, then tr(AB) =…

A: 5.  (a) Trace is the sum of elements on the principal diagonal tr(A)=5  Therefore, it is FALSE (b)…

Q: Question 3: True or false and correct wrong ones 1) If a system of linear equations has no free…

A: Some statements are given

Q: If the 9 by 12 system Ax = b is solvable for every b, then C(A) = __ .

A:

Q: A "swoosh" region is bounded by two quadratic polynomials. [Look up the Nike logo if you're…

A:

Q: Your favorite restaurant offers a total of 14 desserts, of which 8 have ice cream as a main…

A: From the provided information, Number of deserts with ice cream as a main ingredient = n (A) = 8…

Q: Question 22 A linear system with fewer unknowns than equations must have infinitely many solutions…

A: There are an infinite number of solutions to a system of M*N linear homogeneous equations with M =…

Q: 7. Set up the linear system that needs to be solved in order to compute the Newton polynomial…

A: We set up the linear system that needs to be solved in order to compute the Newton polynomial…

Q: 7.) A system of equations can have THAT APPLY. * solution(s). SELECT ALL 3 Infinite No

A: A system of equations can have exactly one or infinite or no solutions.

Q: 10

A:

Q: has

A:

Q: Suppose that m>n in the homogeneous system                        a11x1+a12x2+…+a1nxn=0…

A: Here we have a system of homogenous equation with m equations and n variables  Now here m>n which…

Q: (3) If, on the first observation, the system is in state 2, what state is the system most likely to…

A: Thanks for the question :)And your upvote will be really appreciable ;) Correct answer :- 2

Q: How can numerical methods find solutions to systems of equations? Provide your own explanation of…

A: From intermediate value theorem we know a function fx is real valued and continuous  in a closed…

Q: If the input to a system having a transfer function of 1 + 2z-z-2 is a discrete unit step, find the…

A:

Q: (13) Find two different complete systems of residues modulo 8.

A:

Q: 5. A certain bacteria triples every 2 hours. If at 9:00 am there are initially 1000 bacteria, how…

A:

Q: QUESTION 2 A professor design an online quiz covering six different topics. The quiz has one…

A:

Q: If n(A) = 9, n(B) = 12, and n(ANB) = 5, what is n(AUB)?

A:

Q: A system contains two components, A and B. The system will function only if both component function.…

A: A system contains two components, A and B. The system will function only if both component function.…

Q: b consisting of five linear equations with seven unknowns has a Suppose a nonhomogeneous system Ax =…

A:

Q: If you toss a coin seven times, is more likely that heads will come up six times and tails once than…

A: A coin is tossed 7 times.

Q: (1) Construct a system of three linear non-homogenous equations with three unknowns, which has a…

A: To find - Construct a system of three linear non-homogenous equations with three unknows, which has…