Swinburne University of Technology F&P MTH20013 Linear Algebra & Applications Q.7 3+3+3312 Marks i. Suppose that...
Swinburne University of Technology U&F MTH20013 Linear Algebra & Application Q.2 3+1+3-7 Marks Write the augmented matrix corresponding to equivalent system equations (obtained using Kirchhoff's Law) arising from electric circuit. Find currents is, i2 and is by using matrix method and Gaussian eliminations. -6vR1 40 Loop 1 E2 10V R2 80 13 Loop 2 R3 120
Algebra 1. (3 marks) Suppose the quantity Q, in mg, of medicine in a patient's bloodstream is decreasing by 25% each 40 minutes, so Q = f(t) 300 x (0.75) t/40 where t is in minutes since the injection of medicine and the injection contains 300 mg of medicine. (a) Write the formula for Q in the form Q Axek for appropriate values of A and k. (b) Let T be the time taken for the quantity of medicine in...
About linear algebra,matrix;
2. (a) Use Octave as a Calculator to answer this question. Suppose that A and B are two 8 x 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 A and B? ii. Is vector u 9,64,-71,...
linear algebra
Let V (71, 72, 3}, where 71 73=(2,0,3). (1,3,-1), 2 = (0, 1,4), and (a) Prove: V is a basis. (b) Find the coordinates of (b, b2, bs) with respect to V = {71, U2, 3,}. (c) Suppose M and M' are matrices whose columns span the same vector space V. Let b be the coordinates of relative to M. Write a matrix equation that gives b', the coordinates of relative to M'. (Your answer should be a...
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MATH 1030 – Application Assignment 3 Cryptography Due: Thursday, June 4, 2020 at 11:59pm Atlantic time (submit through Brightspace) You must show your work for full marks. The goal of this assignment is to use our knowledge of linear algebra to do cryptography. We will encrypt a plaintext using a cipher where the resulting ciphertext should not be legible unless...