Matrix A2= [1 2 3; 4 5 6; 7 8 9; 3 2 4; 6 5 4; 9 8 7]

Note: TA2 is defined to be a linear transformation that maps any vector x to A2* x. That is TA2 = A2*x. Also the range of the Linear transformation represented by A2 is the same as the column space of A2.

l) Find a basis for the null(TA2).

m) Find nullity of A2, TA2 and A2^tA2.

n) Find rank(A2), rank(A2^t), rank(TA2) and rank(A2^tA2).

I don't need any explanation, a concise answer is good enough. Please only help if you can give a full and correct answer, thank you!

On January 1, 2015 Sprint issues $300,000 of 12-year bonds with a coupon rate of 9.375% when the market rate for similar bonds is 10%.  Interest is paid semi-annually on June 30^th and December 31^st each year.

Prepare the following journal entries:

1. Issuance of the bonds on January 1, 2015

2. Record the payment of interest on both June 30, 2015 and December 31, 2015.

3. On the balance sheet for December 31, 2015 what will be the carrying value of the bonds (how will the bonds be presented on the balance sheet)

4. What will the carrying value be on December 31, 2018.

e.  Prepare the journal entry for December 31, 2026 when the bonds are repaid.  

X Company purchases exploration rights for A on January 1, 2019 and has responsibility to restore the land after extraction is complete by December 31, 2026 (i.e., 8 years). There is a 40% chance restoration will cost $700,000, a 50% chance restoration will cost $900,000, and a 10% chance restoration will cost $1,500,000. All other costs associated with the A deposit total $1,750,000. The applicable interest rate is 8%.

What does company X record for cost of A?

Suppose the balance of X Company's asset retirement obligation on January 1, 2024, is $646,826. What does X record as accretion expense for the fiscal year ending December 31, 2024?

Evaluate the integral.

∫⁴−2. (1/(x+5)((x^2)+16)) dx

1. Consider this reaction: 2 C2H2 + 5 O2 ? 4 CO2 + 2 H2O If 222 grams of C2H2 reacts completely in this reaction: What mass of O2 will be required? What mass of CO2 will be formed?

2. What is the molarity of a solution formed by dissolving 58.6 grams of KClO3 in enough water to make a solution with a volume of 750.0 milliliters?

4.    A solution of 6.0 M NaOH with a volume of 250 milliliters was diluted until its volume was 450 milliliters. What is the molarity of the diluted solution?  

1.

a. Determine the angle (in radians) between the vectors 〈4, −5, 6〉 and 〈−2, 2, 3〉.

b. Find the vector projection of 〈1, 2, 4〉 onto 〈1, 1, 1〉.

c. Compute the cross product 〈2, 3, 4〉 × 〈1, 0, −1〉.

Solve the following first order differential equations:

(a) 2/?^ ???/?? = 4?^2? ; ?(0) = −1/ 3

(b) ??/?? + ? = ? ; ?(0) = 5

(c) ??/?? + ? /? = ? 3 ; ? ( 1/2 ) = 1

) Solve the linear difference equation: ?(? + 2) − 4?(? + 1) + 3?(?) = 2 ??(?)

Given the initial conditions: ?(0) = 1 , ?(1) = 2

Calculate the MRR in a drilling process that is done with a 2 1 4 - inches radius drill bit, in one piece whose drilling depth is H = 5 3 8 inches and it takes 1/2 hr. Keep in mind that the perforation is not through the workpiece and that the conical tip of the hole has a height of ½ inch.