Determine whether each statement is true or false. If false,
give a counterexample.
a. Interchanging 2 rows of a given matrix changes the sign of
its determinant.
b. If A is a square matrix, then the cofactor Cij of the entry
aij is the determinant of the matrix obtained by deleting the ith
row and jth column of A.
c. Every nonsingular matrix can be written as the product of
elementary matrices.
d. If A is invertible, the AX =...
Determine whether each of the following statements is
TRUE or FALSE and write a short explanation for your
answer
It is a good practice to have loss leaders at the very front of
the store so that more customers can see them quickly and get
attracted to them.
One of the objectives of a promotion strategy is to impede the
success of new market entrants in gaining a significant market
share.
One advantage of intensive distribution is that the firm...
Determine whether each of the following statements is
TRUE or FALSE, and write a short explanation for your answer
(answer should be 1-3 sentences)
1) If individuals bid more than their value in a BDM, they can
risk losing money by forgoing a purchase that could have made them
better off (given them more value than cost).
2) Limited input availability, low inventories, and extended
time period are all factors that act to decrease price elasticity
of supply (i.e., result...
True or False with explanation
Determine and briefly explain whether the following statements
about offer and acceptance
for insurance contracts is true.
11. In property and liability insurance, agents typically have the
authority to bind coverage.
12. In life insurance, the agent can usually accept an offer by
immediately binding coverage.
13. In property insurance, the offer and acceptance are usually
in writing but may be oral.
14. In life insurance, the offer is merely the promise to pay
the...
1. Determine each of the following is true or false? If false,
provide a counterexample.
(a) Let X be a continuous random variable which has the pdf fX.
Then, for each x, 0 ≤ fX(x) ≤ 1.
(b) Any two independent random variables have ρXY = 0.
(c) Let X and Y be random variables such that E[XY ] = E[X]E[Y
]. Then, X and Y are independent.
2. Ann plays a game with Bob. Ann draws a number X1...
True or false:
For each of the statements, determine whether it is true or
false, then explain in a few sentences why that is the answer.
Note: no marks will be given for answers that do not include an
explanation.
1. If money stops being a reliable store of value, then it
ceases to be useful as a medium of exchange.
2. The gold standard is an improvement over actual gold coinage
because it allows the government/central bank to control...
Determine whether each of the following statements is true or
false. If the statement is false, modify and rewrite it so that it
is a true statement.
a. When a molecule has two, degenerate, “infrared active”,
vibrational modes, the two vibrational modes will show absorptions
at different frequencies in the infrared spectrum.
b. For a given substance, strong intermolecular forces between
molecules of the substance can cause peak broadening of some of the
absorptions in the infrared spectrum of the...
State whether the following statements are true of false. If
they are true, give a short justification. If they are false, give
a counterexample. For each of the following, P(x) is a
polynomial.
(a) If P(x) has only even powers, and P(a) = 0 then x^2 ? a^2
divides P(x).
(b) If P(x) has only odd powers, and P(a) = 0 then x^2 ? a^2
divides P(x).
(c) If P(x) has only even powers, then P(x) has at least one...
True or False questions. Determine whether or not each of the
following statements is true. If a statement is true, prove it. If
the statement is false, provide a counterexample and explain how it
constitutes a counterexample. Diagrams can be useful in explaining
such things.
a) If the electric potential in a certain region of space is
constant, then the charge enclosed by any closed surface completely
contained within that region is zero.
b) A sphere of radius R is...
True or False questions. Determine whether or not each of the
following statements is true. If a statement is true, prove it. If
the statement is false, provide a counterexample and explain how it
constitutes a counterexample. Diagrams can be useful in explaining
such things.
1. A sphere of radius R is centered at the origin. A total
charge Q is uniformly distributed throughout its interior. A ball
of radius R/2 centered at the the origin is carved out and...