Q2) Please show all working out neatly. If the answer is neat and correct I will upvote. Thanks! :)
Q2) Please show all working out neatly. If the answer is neat and correct I will...
please answer 2a(i) only 2. (a) Use Octave as a Calculator to answer this question. Suppose that A and B are two 8 × 9 matrices. The (i, j)-entry of the matrix B is given by i *j - 1. The (i,j)-entry of the matrix A equals 0 if i +j is divisible by and equals the (i,j)-entry of the matrix B otherwise. i. What are the rank and nullity of matrices A and B? ii. Is vector u- [9,...
Please write neatly and legibly. Please show all work. 1. Recall that given a basis, the space of linear endomorphisms of R", End (R"), can be identified with the space of nxn matrices. Let us denote this space by Mat (n). Clearly, with respect to standard addition of matrices and multiplication by scalars, Mat (n) is a na-dimensional vector space. 1. Let X e Mat (n). Then, we can think as being coordinates on Mat (n). 1,j=1...n Clearly, we must...
Please be NEAT and show all work, and please explain what you're doing because I am trying to understand this material. Thank you. Let A*=A. Show that all eigenvalues of A are real.
ANSWER SHOULD BE NEAT CLEAN AND WELL EXPLAINED.HANDWRITTEN NEAT CLEAN,EACH STEP SHOULD BE EXPLAINED WELL Find the M to meet the Lyapunov equation in (3.59) with What are the eigenvalues of the Lyapunov equation? Is the Lyapunov equation singular? Is the solution unique? Repeat Problem 3.31 for B- Ci- A1 -2 with two different C 3.7 Lyapunov Equation Consider the equation AM +MB C (3.59) where A and B are, respectively, n x n andmx m constant matrices. In order...
I need to answer 1b 2.5. Let f be a real valued function continuous on a closed, bounded Theorem set S. Then there exist x1,X2 S such that f(x1) S f(x) s f(x2) for all x e S. Proor. We recall that if T E' is bounded and closed, then y, - inf T and sup T are points of T (Example 4, Section 1.4). Let T- fIS. By Theorem 2.4, T is closed and bounded. Take x, such that...
Please answer ALL the parts neatly with all the steps in detail. 36 Alice walks into a post office with 2 clerks. Both clerks are in the midst of serving customers, but Alice is next in line. The clerk on the left takes an Expo(A1) time to serve a customer, and the clerk on the right takes an Expo(A2) time to serve a customer. Let Ti be the time until the clerk on the left is done serving their current...
please use octave calculator or matlab to answer (a)(ii)and(iii) 2. (a) Use Octave as a Calculator1 to answer this question. Suppose that A and B are two 8 × 9 matrices. The (i, j)-entry of the matrix B is given by i *j -1. The (i, j)-entry of the matrix A equals 0 if i + j is divisible by 5 and equals the (i, j)-entry of the matrix B otherwise. i. What are the rank and nullity of matrices...
Please answer clearly and neatly so I can read your work. I will give a good rating! Thank you (: Hot exhaust gases are used in a shell-and-tube exchanger (1 shell and 20 tube passes) to heat 2.5 kg/s of water from 35 to 84°C. The gases, assumed to have the properties of air, enter at 200°C and leave at 93°C. The overall heat transfer coefficient is 181 W/m²K. Using the effectiveness-NTU method, calculate the area of the heat exchanger....
Can someone please answer this? Please write clearly and neatly, and show all work please? I am trying to understand this material. Thanks Derive an expression for the rate of increase dVIdt of the voltage circuit. Evaluate your result at t- 0 and show that that if the capacitor continued charging steadily at this rate, it would reach full charge in exactly one time constant.
Problem 15 (m* (I)) of an interval I is its length (e(I)). Prove that the Lebesgue outer measure (In): EC Ia (In) collection of open interva inf Proof Recall that the Lebesgue outer measure m' (I) n To prove that the Lebesgue outer measure is equivalent to the length of the interval, we will first 167 7.4. Measure Theory Problem Set 4: Outer Measure consider an unbounded interval I. Note that an unbounded interval cannot be covered by a fi-...