The Fibbonacci sequence is defined recursevely as following for i≥3 FiFi-1+ Fi-2; F1 = 1, F2 = 1. Write a scipt that uses a for loop to compute the 10th element of the Fibbonacci sequence and assing it to the variable named f

EN (4)(p()) 5 (3c) Prove by induction that: Vn E N using your recursive definition from (2c) for the function defined below: p = n↔ 2n(n + 1) =: N → N Begin your work on this page and continue onto pages that follow, numbered as per instructions, as needed. 0 (i) BC 0 (ii) RCS You may discuss with anyone 319

is this correct? my number J is 00292366, i will also provide what s and b are from the different page i got it from, if incorrect, please fix it

please ignore the work already done for these as i am not sure they are correct.

4 - het B = { [´8 ], [ -5]} and C = { [4] [1]} Find the change of coordinates. matrix from ẞ to C and from C to B.

(5) • Let u₁ = [ ! ] 4 [ i ] = [i] = and Из These vectors are orthogonal - (you do not need to check this). Also, let y= 3452 Calculate the orthogonal projection onto span {u₁, uz, U3}. of y

4 ④ het B = { [ 8 ], [ -5]} and C = {[&] [!]} Find the change of coordinates matrix from B to C and from C to B.

please solve using the first step i did which was c(n,n) = 1/C(5,5) = 1. <n=5> P(n,n) = n!/p(8,8)= 8! <n=8>

2 Do vectors {[ 1 ]: y = 2 - x} form a Subspace of IR? Please explain.