2. If a -2.7e 3 and b-1.le1°, for what value of 0 is la +b 1.662?...
6. Consider the iinear transtormation LA: C denned by C 2 3 2 A- 4 1 7 1 Apply the results you will show in Proof #2 to find the following representations (use Octave to invert and multiply matrices as necessary) (a) What matrix represents LA with resspect to the standard bases S, for C and S, for C? Lals (b) If -((0, 0,-12. 2, 2), (0, 0, 1,0, 0). (0, 0, 0, 1, 0), (1,0, 12,-2,-2). (0, 1, 18,-3,-3))....
1 ]x 3. Solve the initial value problem. 0 0 1 (1) x = 0 10 X, X(0) 1_0_0 5 =3 0 -4 (2) x = -1 -1 -1 X, X(0)= 0 1 1= 13 = la ;1- =ܬ [ 3 2 0 lu-la = lg=-1 1 1
3. Let La A = 1 - 2 5 -3 2 5 0 -12-2 . L (a) (8 points) It turns out that the matrix equation Ax = b is consistent only for a special type of vector b where bi, b2, and b3 satisfy a certain equation. Find this equation. (b) (8 points) The set of all vectors satisfying the equation found in part (a) equals Span {W1, w2} Find wį and w2.
Let A = [2 for A+ B? 1] and B = (3 0 5). What is the solution Select the most appropriate option. O [5 1 5] Q [ 51] O [5 1 4] Vectors of different lengths cannot be added
3.) Given four points (1, 2), (a,0), (3, 1), and (1-a, o), where at 1 and a = -2, find the following: a) The equation of line La passing through the points (1, 2) and Cao). Express the answer is slope- intercept form. b.) The equation of the line La passing through the points (3, 1) and (1-a, O). Express in slope-intercept form, C) For which values of a the lines Lq and la are perpendicula(? ds for which value...
Utilizar la gráfica de la siguiente función fpara contestar las preguntas 4 y 5 yA 2 0 2 x P4) En que números la función f(x) b) 0 y-4 no es diferenciable. d)-4 y 2 a) 2 y 0 c) 4 y 0 e) Ninguna de las anteriores P5) En qué valor de x, la pendiente de la recta tangente a la curva fx) es positiva. a)-4.5 b) 3.5 c) 0 d) -4 e) Ninguna de las anteriores TABLA DE...
5 1 0 Problem 4: LetA = 0 41 . Consider the linear operator LA : R3 → R3 a) Find the characteristic polynomial for LA b) Let V-Null(A 51). V is an invariant subspace for LA. Pick a basis B for V and c) Let W-Null(A 51)2). W is an invariant subspace for LA Pick a basis a for W 0 3 2 use it to find LAlvls and the characteristic polynomial of LAl and use it to find...
1. (10 points, part I) Consider the following initial boundary value problem lU (la) (1b) (1c) 0L, t> 0 3 cos ( a(x, 0) (a) Classify the partial differential equation (1a) (b) What do the equations (la)-(1c) model? (Hint: Give an interpretation for the PDE, boundary conditions and intial condition.) c) Use the method of separation of variables to separate the above problem into two sub- problems (one that depends on space and the other only on time) (d) What...
Draw the mechanism and predict the major product for each of the following reactions. (b) 0 la) 0 1. KCN, HO 2 2. H SO 1. KCN, HẠO. 2. 2. H,SO 1. CH MgBr, ether 2. H2O 2 (e) 0 2°Cull 2. H2O CH,CH SNa 2. Ethanol
defects 1 4 1 0 3 4 2 1 3 1 0 5 1 3 3 2 1 1 4 1 1 2 3 3 1 2 2 2 2 2 4 3 1 1 3 0 6 1 1 3 2 1 3 3 0 1 0 1 3 5A quality control engineer at a particular lcd screen manufacturer is studying the mean number of defects per screen. Based on historical evidence, the mean number of defects per screen...