7. Can the scalar product be negative? Explain. 8. Is vector subtraction commutative? Explain. 9. Does...
7. Average age in a population. Suppose the 100-vector a represents the distribution of ages in a population, with xi being the number of i-1 year olds, for i = 1, . . . , 100. Find an expression for the average age across the population. (You can assume that xメ0) Your expression must use vector or matrix notation; you cannot use a sum over ages You can use any notation we've encountered, including vectors, matrices, matrix-vector products, inner product,...
can anybody explain how to do #9 by using the theorem 2.7? i know the vectors in those matrices are linearly independent, span, and are bases, but i do not know how to show them with the theorem 2.7 a matrix ever, the the col- ons of B. e rela- In Exercises 6-9, use Theorem 2.7 to determine which of the following sets of vectors are linearly independent, which span, and which are bases. 6. In R2t], bi = 1+t...
Could someone pls explain question 9 (e)? 9. Consider the set of matrices F = a) Show that AB BA for all A, B E F b) Show that every A E F\ {0} is invertible and compute A-. c) Show that F is a field d) Show that F can be identified with C e) What form of matrix in F corresponds to the modđulus-argument form of a complex number Comment on the geometric significance. Solution a) Let A...
Y. Daniel Liang’s 8 Class Design Guidelines were posted on the File Manager and handed out in class. Please choose 5 guidelines and discuss them in depth. For each guideline, use 1 page or more for your discussion. You can use the code provided in class to demonstrate your points. The code should not be more than one-third of your writing. 1. Cohesion • [✓] A class should describe a single entity, and all the class operations should logically fit...
question 7 and 8 Purpose To examine the properties of polarized light and the mathematical relationship describing the intensity of linearly polarized light (Malus'law). In addition, the lab will investigate different ways light can be polarized Overview This lab is the first of three labs exploring the properties of electromagnetic waves. Electromagnetic waves are composed of oscillating electric and magnetic fields. As discussed in the lecture the electric and magnetic field vectors are mutually perpendicular to each other. Light waves...
Separating a Mixture, Recrystallization, pre-lab assignment could you also explain why you chose that substance for the empty spaces and question marks EXPERIMENT 4 Pre-Lab Assignment Separating a Mixture, Recrystalliration Name Date 1. Complete the following flowchart which shows how to separate a mixture of sand, sodium chloride and acetanilide. Notice that after a separation process (a down arrow) the filtered solids are shown on the left and the filtrate (the liquid) is shown on the right. The terminal step...
help please? this was the only other information given REPORT SHEET Determination of the Solubility-Product Constant for a Sparingly Soluble Salt EXPERIMENT 8 A. Preparation of a Calibration Curve Initial (Cro121 0.0024 M Absorbance 5 mL Volume of 0.0024 M K Cro Total volume 1. I mL 100 mL 2. 100ML 3. 10 mL 100ml 4. 15 mL 100 ML Molar extinction coefficient for [CrO2) [Cro,2) 2.4x100M 12x1044 2.4810M 3.6810M 0.04) 2037.37 0.85 1.13 2. 3. Average molar extinction coefficient...
Use the following information To help you solve the following questions. Show all work for thumbs up. 3.1 Rotations and Angular-Momentum Commutation Relations 159 We are particularly interested in an infinitesimal form of Ry: (3.1.4) where terms of order & and higher are ignored. Likewise, we have R0= ° :- R(E) = 1 (3.1.5) and (3.1.5b) - E01 which may be read from (3.1.4) by cyclic permutations of x, y, zthat is, x y , y → 2,2 → x....
A. Issues [1] In addition to damages for one year's notice period, can a trial judge award significant damages for the mere fact of an employee's dismissal, or for the stigma that that dismissal brings? Or for the employer thereafter competing with the ex-employee for the clients, before the ex-employee has got a new job? B. Basic Facts [2] This is an appeal from 2009 ABQB 591 (CanLII), 473 A.R. 254. [3] Usually a judgment recites facts before law. But...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...