please solve 7,8,10,11 find property of vector like closure , associative all 5 list is on...
please solve using all 10 listed bellow:
1. closure property of addition,
2. commutative property,
3. associative property,
4. additive identity property,
5. additive inverse property,
6. closure property of scaler multipication,
7. vector distributive property
8. scaler distributive property,
9. scaler associative property
10. scaler identity property
2. Let V2 = R', the set of all 3-D vectors, with vector addition and scalar multipli- cation defined as follows: • if a = (a1, 02, 03) and b = (b.b2,...
Question 2 please
Exercise 1. Define an operation on Z by a b= a - b. Determine ife is associative or commutative. Find a right identity. Is there a left identity? What about inverses? Exercise 2. Write a multiplication table for the set A = {a,b,c,d,e} such that e is an identity element, the product is defined for all elements and each element has an inverse, but the product is NOT associative. Show by example that it is not associative....
Please show all steps and write clearly. Thank you
Closure, Commutativity, associativity, additive inverse, additive
property, closure under scalar multiplication, distributive
properties, associative property under scalar multiplication, and
multiplicative identity of Theorem 4.2 of the textbook.
10. Let Rm *n be the set of all m x n matrices with real entries. Establish that the structure consisting of RmX "n together with the addition of matrices and scalar multiplication satisfies the properties of
10. Let Rm *n be the set...
let g=(x e R:x>1) be the set of all real numbers greater than 1. for X,Y e G, define x * y=xy - x-y +2. 1. show that the operation * is closed on G. 2. show that the associative law holds for *. 3.show that 2 is the identity element for the operation *. 4. show for each element a e G there exists an inverse a-1 e G.
16. [0/1 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 4.1.002 Find the component form of the given vector. v= – 5² +47 X y 3 2 х -6 -5 -4 -3 - 2 -1 Determine whether the set, together with the indicated operations, is a vector space. If it is not, then identify one of the vector space axioms that fails. The set {xy): x 29,729) The set is a vector space. The set is not a vector space because it is...
1. Suppose that a function f, defined for all real numbers, satisfies the property that, for all x and y, f(x + y) = f(x) + f(y). (*) (a) (2 points) Name a function that satisfies property (*). Name another that doesn't. Justify your answers. (b) (3 points) Prove that any function that satisfies property (*) also satisfies f(3x) = 3f(x). (c) (5 points) Prove that any function that satisfies property (*) also satisfies f(x - y) = f(x) –...
1. Suppose that a function f, defined for all real numbers, satisfies the property that, for all x and y, f(x + y) = f(x) + f(y). (*) (a) (2 points) Name a function that satisfies property (*). Name another that doesn't. Justify your answers. (b) (3 points) Prove that any function that satisfies property (*) also satisfies f(3x) = 3f(x). (c) (5 points) Prove that any function that satisfies property (*) also satisfies f(x - y) = f(x) –...
please solve part(ii)
5 Throughout this question the use of a calculator is not permitted. The complex numbers w and z satisfy the relation W= 2 + i iz + 2 (i) Given that z = 1+ i, find w, giving your answer in the form x + iy, where x and y are real. [4] W= (1+i)+i (1+i)+2 1+2ixl-i = Iti Jxl-i 1-1+2i+2 1+12 11 3ti 2 3 2 + li (ii) Given instead that w = z and...
5- The set of formulas can be defined as follows: i. An atomic formula is a formula ii. if "X" and "y" are formulas, then also "not X", "X and Y", "x or Y", and "X implies Y" are formulas iii. If "X" is a formula and "a" is an identifier, then also "exists a. X" and "Seram a . x" are formulas These properties must hold: The precedence order is as follows (1) not a. (2) and 3) Oniie...
Show all the work
5. Compute the flux (integral) of the vector field )-(7777 규) along the surface Σ of exercise 4 with respect to φ 4. Let Σ be the piece of the hyperboloid x2+92-2-1 between the planes z-4/3 and z 12/5. Compute the integral of the function f(x,y,z) = z? along Σ Hint: use the parametrization (change of coordinates) given by φ(u, θ)-(cosh u cos θ, cosh u sin θ, sinh u) and remember the elementary properties of...