3 Find c,c2, and c such that M3 M2 Ms 0, where Is is the identity...
1. The units of 1/4??0 are: a) m2/C2 b) N2 * m2/C2 c) N * m2/C2 d) N * m/C e) N2C2
Assume that the transition matrix from basis B = {b1, b2, b3} to basis C = {c1, c2, c3} is PC,B = 1/2*[ 0 -1 1 ; -1 1 1 ; 1 0 0 ]. (a) If u = b1 + b2 + 2b3, find [u]C. (b) Calculate PB,C. (c) Suppose that c1 = (1, 2, 3), c2 = (1, 2, 0), c3 = (1, 0, 0) and let S be the standard basis for R 3 . (i) Find...
Exercise 4 Leta(c)-c1/2 and let c2 > cı > 0 be given. Let: π1c1+12c2. where π2 = 1-T1. (i) Sketch the function u and indicate in your sketch the points (C1, u(a), (c, u(c)), and (c2,u(c2)). (ii) Draw the line that connects the two points (ci, u(cı)) and (c2, u(c2)) and represent that line algebraically. Hint: Find the slope and intercept in terms of the two points, (c1, u(c) and (c,,u (сг)).] (iii) Use that algebraic result to show that...
(1 pt) Let M -6 2 Find a and b such that M2 + aM + b12 = 0, where 12 is the identity 2 × 2 matrix. Isn't this cool? Notice how this is like the polynomial 2 az +b-0, with powers of the matrix M instead of powers of the variable r. Awesome!) a=[
Problem #8 : Find the values of ci, c2, and c3 so that ci (3, .15, 1) + c2 (-6, 5. O) + c3 (-3, 0, 0,-(-3, î0, 2). Г - Problem #8: enter the values of c1, c2, and c3, separated by commas Just Save | Submit Problem #8 for Gradin Problem #81 Attempt #1 | Attempt #2 | Attempt #3 Screenshot saved The screenshotw OneDrive OneDrive Your Answer Your Mark:
Let B = {bį, b2} and C = {C1,C2} be bases for R², where b, -6--0--0--01 1 a. Find P BEC [16 b. If [x]c = -3 de=[13] , find [x]
Find a basis for the null space of each matrix given
3 3 1 B= 0 2. N(B) = {1,62,bg} 1 2. 3. b_1 b_2 |b_3 - 2 -4 -3 C= -1 3 N(C) = {ci, C2, C3, C4 } -1 -1 3 -4, |c_1 c_2 C_3 |c_4
5. (1 point) Find constants ci, c2, and c3, such that the function y ci + c2 cos(5x) + c3 sin (5x) is the solution of the initial value problem 18 y"+25yo y(0)=-5 У"(0)--20 y"(0) 50 Answert s) submitted (incorrect) 6. (1 point) Calculate the Wronskian for the following set of functions:
Consider the 3 x 3 matrix A-1-ovvT where a R, 1 is the identity matrix and v the vector (a) Determine the eigenvalues and eigenvectors of A (b) Hence find a matrix which diagonalises A. (c) For which a is the matrix A singular? (d) For which α is the matrix A orthogonal ?
Consider the 3 x 3 matrix A-1-ovvT where a R, 1 is the identity matrix and v the vector (a) Determine the eigenvalues and eigenvectors of...
1. Consider a cipher with three keys, three plaintexts, and four ciphertexts, given by: C2 CA C C C3 C2 C4 C3 Ci m1 | 12 | 13 ki k2 ks Suppose all keys are equally likely, and the messages have probability P(mı) = 1/5, P(m2) 2/5, P(m3) = 2/5. (a) What is the probability of each ciphertext? (b) Compute P(q|m), Pq|m2), P(q|m3). Can you tell if the ciphertext has perfect secrecy from this calculation? (c) Compute P(ca|mı), P(c3|mı), P(ca|mı)....