Let Vector_1=[Column (1 &-2&1)],Vector_2=[Column(2&-1&1)],Vector_3=[Column(-2&... Let Vector_1=[Column (1 &-2&1)],Vector_2=[Column(2&-1&1)],Vector_3=[Column(-2&-2&0)],Vector_4=[Column(1&-2&-2)]. Show that S={Vector_1,Vector_2,Vector_3,Vector_4} is linearly dependent.

Show that Vector_3 can be written as a linear combination of Vector_1,Vector_2 and Vector_4.

Show that T={Vector_1,Vector_2,Vector_4} is linearly independent.

Show that the set of all linear combinations of vectors from S is the same as the set of all linear combinations of vectors from T.

Spring Water Company Ltd. needed to raise $50 million of additional capital to finance the expansion of its bottled water facility. After consulting an investment banker, it decided to issue bonds. The bonds had a face value of $50 million and an annual interest rate of 4.5%, paid semi-annually on June 30 and December 31, and will reach maturity on December 31, 2026. The bonds were issued at 96.1 on January 1, 2016, for $48,050,000, which represented a yield of 5%.

Required:

a. Spring Water Company issued bonds with a face value of $50 million because it wanted to raise $50 million. However, it succeeded in raising only $48,050,000. Identify and explain two possible reasons why investors were not willing to pay $50 million for the bonds.

b. Show the journal entry to record the issuance of the bonds.

c. Show the journal entries to record the first two interest payments.

d. What amount will be reported on the statement of financial position at the end of the first year related to these bonds?

For each of the transition metal complex ions
(a) [Ti(NH3)6]2+
(b) [Cr(H2O)4(OH)2]1-
(c) trans–[Pt(CN)2(en)2]2+

(i) Draw the structure of the transition metal complex ion. Show the charge on the
complex.
(ii) Determine the number of d electrons.
(iii) Draw the ground state arrangement of the d electrons in the ground state.
(iv) Calculate the LFSE (in units of Δo or ΔT) for each complex.

for the matrix, A= [1 2 -1; 2 3 1; -1 -1 -2; 3 5 0]

a. calculate the transpose of A multiplied by A

b. find the eigenvectors and eigenvalues of the answer to a

c. Find the SVD of matrix A

A newspaper publisher trying to pinpoint his market's characteristics wondered whther the way people read a newspaper is reated to the reader's educational level. A survey asked adult readers which section of the paper they read first and asked to report their highest educational level. These data were recorded (column 1 = First section read where 1 = Front page, 2=sports, 3=educational level where 1 = did not complete high school, 2 = High school graduate, 3 = university or college graduate, and 4 = postgraduate degree). What do these data tell the publisher about how educational level affects the way adults read the newspaper?? Can I see this performed in excel or steps to do so?

la place transform of

1. y´´+4y´+6y_=0, y(0)=1, y´(0)=-4

2. y´+y=t^2 , y(0)=0

What structural or electronic aspect of (2E)-1-(4-Nitrophenyl)-3-(2-pyridinyl)-2-propen-1-one prevents the resonance argument and empirical parameters from adequately predicting the H-NMR chemical shifts of the alpha C-H?

Formula=IF(RAND()>0.5,T.INV(RAND(),10)-2,T.INV(RAND(),10)+2

Use the excel spreadsheet to simulate 1000 samples of size 25 by copying cells C:3 through C:27 and pasting into rows 3 through 27 in the adjacent columns. For each sample calculate the sample mean. Then in row 28 you obtain a sample of sample means. If you copy and paste these into the column “sample of sample means” (starting with cell c:31) then the histogram counts will be automatically produced. (Using copy special and the “values” and “transpose” options.) Plug these counts into a bar chart to get a histogram. Submit only your histogram. Then create a second histogram by using only observations 1 through 8 for each sample (instead of using all 25 observations). How do the two histograms differ?

A monopolist faces two totally separated markets with inverse demand p=200−2?₁ and p=320−4?₂ respectively. The monopolist cost is C=?². Note that q=?₁+?₂.

(a)Find the profit maximizing total output and how much of it that is sold on market 1 and market 2 respectively if the monopoly uses third degree price discrimination. What prices will the monopolist charge in the two separate markets?(b)Calculate the price elasticity of demand in each market and explain the intuition behind the relationship between the prices and elasticities in these two separate markets.