"We want to verify that IP(·) and IP^-1(·) are truely inverse
operations. We consider a vector...
"We want to verify that IP(·) and IP^-1(·) are truely inverse
operations. We consider a vector x = (x1, x2, . . . ,x64) of 64
bit. Show that IPfive bits of x, i.e. for xi, i = 1,2,3,4,5.
Verify using an example that vector a + (vector b * vector c) is
not equal to (vector a + vector b) * (vector a + vector c) explain
the problem that arrises
1) Consider the statement: “If it snows then we will stay home”.
Find the:
Converse
Inverse
Contra-positive
Assuming the original statement is true, which statements must
also be true?
Determine if the statement is true or false and provide a
counter-example for the false statements.
The sum of two integers is an integer.
Prime numbers are odd.
The product of two irrational numbers is irrational.
The sum of a rational number and an irrational number is
irrational.
Vector Analysis: Verify Green’s Theorem in the plane for ? ⃑ =
(?^2 + ?^2)?̂+ (?^2 − ?^2)?̂ in the anti-clockwise direction around
the ellipse 4?^2 + ?^2 = 16.
Verify that the Divergence Theorem is true for the vector field
F on the region E. Give the flux. F(x, y, z) = xyi + yzj + zxk, E
is the solid cylinder x2 + y2 ≤ 144, 0 ≤ z ≤ 4.
a. Prove that for any vector space, if an inverse exists, then
it must be unique.
b. Prove that the additive inverse of the additive inverse will
be the original vector.
c. Prove that the only way for the magnitude of a vector to be
zero is if in fact the vector is the zero vector.
QUESTION 1
Vector Space Axioms
Let V be a set on which two operations, called vector addition
and vector scalar multiplication, have been defined. If u and v are
in V , the sum of u and v is denoted by u + v , and if k is a
scalar, the scalar multiple of u is denoted by ku . If the
following axioms satisfied for all u , v and w in V and for all
scalars k...
Verify all axioms that show that the set of second degree
polynomials is a vector space. What is the Rank?
P2 = {p(x)P | p(x) = ax^2 + bx + c where a,b,c E
R}
1. We want to test a new drug and we want to ensure
that all age groups are represented it to do this we split up the
general population into age groups and then select randomly within
each group state what type of sampling this is and support your
answer.
1b. Describe what type of distribution this is and
support your answer
2. We roll 5 six-sided die. What is the probability of
obtanining exactly two 1s?
3. How many...