Homework 1A BIOE 485, Assignments of Bioengineering

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BIOE 485: HW 1 - Part A (First half of HW 1) Due: 09/14/2023 at start of class 1. Question: Compute the following, if possible. 4 1 0} [5 9 0 3 2}f1 -3 aie oo lg i +1 1 8 oot 1 —f 0 0 -1 1 ja -1] [5 9) o 3} p 3 Gr S 2. Question: Using the following matrix A: 1 -1 0 A-|-1 1 T. 0 1 Lt (a (b E , ) Find the inverse of A, if possible. Show your steps/justification. Solve Az = b, where 27 = [.r,y, 2] and b” = [0,—L. 1]. Now replace the rightmost column of A with [0,0,4]’. Are the three columns linearly independent? If not, how many are? Lxplain. Now ignore the rightnost column of A. Call this matrix B. Solve Bz = 0, where & = (2, y]?. What is the dimension of the resulting