Homework Answers
Add Answer to:
Please solve all in detail!
7. Recall that if o E Sn then P, is the...
Exercise 2. Given a permutation o E S. define a matrix P, E M. (F) by...
Exercise 2. Given a permutation o E S. define a matrix P, E M. (F) by setting P.(1,j) = P.(.) = 806) 1 if i=0G) ifi 00) for all 1 Sij Sn. For example, ifo is the identity permutation, then P, (1) Show that det(P.) gn(a) for all o ES.. Deduce that the matrix P, is invertible, for all o ES (ii) Show that P.P. - Por for all 9,TES. Deduce that the matrix P, is orthogonal, for all o...
Problem 2: Let pı .. .pn E Sn be a permutation, considered in its one-line notation. A descent in p is an index 1 < i S n 1 such that p, > Pi+1. How many permutations in Sn have exactly one des...
Problem 2: Let pı .. .pn E Sn be a permutation, considered in its one-line notation. A descent in p is an index 1 < i S n 1 such that p, > Pi+1. How many permutations in Sn have exactly one descent?
Problem 2: Let pı .. .pn E Sn be a permutation, considered in its one-line notation. A descent in p is an index 1 Pi+1. How many permutations in Sn have exactly one descent?
Please write neatly and legibly. Please show all work. 1. Recall that given a basis, the...
Please write neatly and legibly. Please show all work.
1. Recall that given a basis, the space of linear endomorphisms of R", End (R"), can be identified with the space of nxn matrices. Let us denote this space by Mat (n). Clearly, with respect to standard addition of matrices and multiplication by scalars, Mat (n) is a na-dimensional vector space. 1. Let X e Mat (n). Then, we can think as being coordinates on Mat (n). 1,j=1...n Clearly, we must...
Solve all parts please 5. In the following problems, recall that the adjacency matrix (or incidence matrix) for a simp...
Solve all parts please
5. In the following problems, recall that the adjacency matrix (or incidence matrix) for a simple graph with n vertices is an n x n matrix with entries that are all 0 or 1. The entries on the diagonal are all 0, and the entry in the ih row and jth column is 1 if there is an edge between vertex i and vertex j and is 0 if there is not an edge between vertex...
Please explain each step of what you do in detail to solve this problem: 2. (Connected sums) Recall that the connected s...
Please explain each step of what you do in detail to solve this
problem:
2. (Connected sums) Recall that the connected sum M #M2 of two (path connected) manifolds M and M2 is obtained from the disjoint union of Mi and M2 by removing the interior of a closed n-ball Bi fron Mi (i = 1,2) and gluing together the two boundary (n 1)-spheres by a homeomorphism π1(M,,p) *n(My, P2), Prove for appropriate base point p provided n 2 3....
please help if you know Optimization with Quadratic Functions Could you please prove 89. Thank you so much ! Qua...
please help if you know Optimization with Quadratic
Functions
Could you please prove 89.
Thank you so much !
Quadratic Functions A quadratic function is a mapping Q R R that is a scalar combination of single variables and pairs of variables. Thus, there are coefficients Cli,] and Ell, and a real number q, such that for X E IRn, we have The m atrix notation for C is suggestive. Indeed, C is n × n, and we take E...
Please help me solve 3,4,5 3- For all n € N, let an = 1. Let...
Please help me solve 3,4,5
3- For all n € N, let an = 1. Let S = {an in€ N}. 3-1) Use the fact that lim - = 0 and the result of Exercise 1 to show that 0 ES'. Ron 3-2) Use the result of Exercise 2 to show that S = {0}. 4- Prove that 4-1) N' = 0. 4-2) Q =R. 5- Recall that a set KCR is said to be compact if every open cover...
Real analysis 10 11 12 13 please (r 2 4.1 Limit of Function 129 se f: E → R, p is a limit point of E, and li...
Real analysis
10 11 12 13 please
(r 2 4.1 Limit of Function 129 se f: E → R, p is a limit point of E, and limf(x)-L. Prove that lim)ILI. h If, in addition, )o for all x E E, prove that lim b. Prove that lim (f(x))"-L" for each n E N. ethe limit theorems, examples, and previous exercises to find each of the following limits. State which theo- rems, examples, or exercises are used in each case....
Differention Equations - Can someone answer the checked numbers please? Determinants 659 is the characteristic equation of A with λ replaced by /L we can multiply by A-1 to get o get Now solve fo...
Differention Equations - Can someone answer the checked
numbers please?
Determinants 659 is the characteristic equation of A with λ replaced by /L we can multiply by A-1 to get o get Now solve for A1, noting that ao- det A0 The matrix A-0 22 has characteristic equation 0 0 2 2-A)P-8-12A +62- 0, so 8A1-12+6A -A, r 8A1-12 Hence we need only divide by 8 after computing 6A+. 23 1 4 12 10 4 -64 EXERCISES 1. Find AB,...
Exercise 2. Given a permutation o E S. define a matrix P, E M. (F) by setting P.(1,j) = P.(.) = 806) 1 if i=0G) ifi 00) for all 1 Sij Sn. For example, ifo is the identity permutation, then P, (1) Show that det(P.) gn(a) for all o ES.. Deduce that the matrix P, is invertible, for all o ES (ii) Show that P.P. - Por for all 9,TES. Deduce that the matrix P, is orthogonal, for all o...
Problem 2: Let pı .. .pn E Sn be a permutation, considered in its one-line notation. A descent in p is an index 1 < i S n 1 such that p, > Pi+1. How many permutations in Sn have exactly one descent?
Problem 2: Let pı .. .pn E Sn be a permutation, considered in its one-line notation. A descent in p is an index 1 Pi+1. How many permutations in Sn have exactly one descent?
Please write neatly and legibly. Please show all work.
1. Recall that given a basis, the space of linear endomorphisms of R", End (R"), can be identified with the space of nxn matrices. Let us denote this space by Mat (n). Clearly, with respect to standard addition of matrices and multiplication by scalars, Mat (n) is a na-dimensional vector space. 1. Let X e Mat (n). Then, we can think as being coordinates on Mat (n). 1,j=1...n Clearly, we must...
Solve all parts please
5. In the following problems, recall that the adjacency matrix (or incidence matrix) for a simple graph with n vertices is an n x n matrix with entries that are all 0 or 1. The entries on the diagonal are all 0, and the entry in the ih row and jth column is 1 if there is an edge between vertex i and vertex j and is 0 if there is not an edge between vertex...
Please explain each step of what you do in detail to solve this
problem:
2. (Connected sums) Recall that the connected sum M #M2 of two (path connected) manifolds M and M2 is obtained from the disjoint union of Mi and M2 by removing the interior of a closed n-ball Bi fron Mi (i = 1,2) and gluing together the two boundary (n 1)-spheres by a homeomorphism π1(M,,p) *n(My, P2), Prove for appropriate base point p provided n 2 3....
please help if you know Optimization with Quadratic
Functions
Could you please prove 89.
Thank you so much !
Quadratic Functions A quadratic function is a mapping Q R R that is a scalar combination of single variables and pairs of variables. Thus, there are coefficients Cli,] and Ell, and a real number q, such that for X E IRn, we have The m atrix notation for C is suggestive. Indeed, C is n × n, and we take E...
Please help me solve 3,4,5
3- For all n € N, let an = 1. Let S = {an in€ N}. 3-1) Use the fact that lim - = 0 and the result of Exercise 1 to show that 0 ES'. Ron 3-2) Use the result of Exercise 2 to show that S = {0}. 4- Prove that 4-1) N' = 0. 4-2) Q =R. 5- Recall that a set KCR is said to be compact if every open cover...
Real analysis
10 11 12 13 please
(r 2 4.1 Limit of Function 129 se f: E → R, p is a limit point of E, and limf(x)-L. Prove that lim)ILI. h If, in addition, )o for all x E E, prove that lim b. Prove that lim (f(x))"-L" for each n E N. ethe limit theorems, examples, and previous exercises to find each of the following limits. State which theo- rems, examples, or exercises are used in each case....
Differention Equations - Can someone answer the checked
numbers please?
Determinants 659 is the characteristic equation of A with λ replaced by /L we can multiply by A-1 to get o get Now solve for A1, noting that ao- det A0 The matrix A-0 22 has characteristic equation 0 0 2 2-A)P-8-12A +62- 0, so 8A1-12+6A -A, r 8A1-12 Hence we need only divide by 8 after computing 6A+. 23 1 4 12 10 4 -64 EXERCISES 1. Find AB,...
Most questions answered within 3 hours.
-
A 4.75 kg crate is suspended from the end of a short vertical
rope of negligible...
asked 4 minutes ago -
develop an automated invoice generator that helps a shop owner
to design their invoice. Problem 1...
asked 12 minutes ago -
2. Binomial Distribution Suppose I have an unfair coin, it lands
on heads 75% of the...
asked 26 minutes ago -
negotiators with absolutely no alternative to a negotiated
agreement sometimes.
a. become hostile and end the...
asked 24 minutes ago -
Write a Verilog program that tests whether a 4-bit input
variable is a Fibonacci number or...
asked 34 minutes ago -
MYSQL
Consider the sql statement "select * from t1 UNION t2" where t1
and t2 are...
asked 37 minutes ago -
2. A retailer sells 10,000 units at $10. Each unit costs the
retailer $7.00 to sell,...
asked 39 minutes ago -
If the Stratosphere elevator in Las Vegas is 500 m above the
ground when the cables...
asked 52 minutes ago -
identify at least one other characteristics of the soils/sand
that may have impacted the growth of...
asked 58 minutes ago -
True or False
The following statements refer to The Web of Belief
10. An explanation of...
asked 1 hour ago -
15)___________ A study was conducted to
test the effectiveness of aspirin on reducing
asked 1 hour ago -
How fast must a centrifuge spin if a particle 8 cm from the axis
of rotation...
asked 1 hour ago