If R is the 2×2 matrices over the real, show that R has
nontrivial left and right ideals.?
hello
could you please solve this problem with the clear hands writing to
read it please? Also the good explanation to understand the
solution is by step by step please
thank
the subject is Modern
Algebra
Show that R-1(a)R(a) = I, where I is the identity matrix and R(a) is the rotation matrix. This equation shows that the inverse coordinate transformation returns you to the original coordinate system.
Show that W = {f : R → R : f(1) = 0} together with usual
addition and scalar multiplication forms a vector space. Let g : R
→ R and define T : W → W by T(f) = gf. Show that T is a linear
transformation.
Suppose a function f : R → R is continuous with f(0) = 1. Show
that if there is a positive number x0 for which
f(x0) = 0, then there is a smallest positive number p
for which f(p) = 0. (Hint: Consider the set {x | x > 0, f(x) =
0}.)
In a certain lottery, six numbers are randomly chosen form the
set {0, 1, 2, ..., 49} (without replacement). To win the lottery, a
player must guess correctly all six numbers but it is not necessary
to specify in which order the numbers are selected.
(a) What is the probability of winning the lottery with only one
ticket?
(b) Suppose in a given week, 6 million lottery tickets are sold.
Suppose further that each player is equally likely to choose...
Question 1
i. Identify the product and service attributes which form the
basis for the selection of a process type .
ii. Give two critiques against the Optimal Quality Effort
submission.
iii Propose two solutions to the Bullwhip effect in the supply
chain.
NB: Answers should be brief