Write a MATLAB function [p, z] =
proj(A,b) that computes the projection of
b onto the Column...
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Electrical Engineering
Write a MATLAB function [p, z] =proj(A,b) that computes the projection ofb onto the Column Space of an m ×n matrix A. Your program should allow for the possibilitythat the columns of A are not linearly independent. In order forthe program to work, you will need to create a basis for Col A.
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diary onformat compactPart IV Orthogonal Projections LeastSquaresSolutions Exercise36shrink functionfunction B shrinkAformat compactB A pivotproj functionfunction p projAbformat compactA shrinkAb transposebif sizeA 1 sizetransposeb 2if rankA rankA bp transposebdisppz transposeb pdispzdispb is in the Col AquitelseR colspacesymAT 0for i 1sizeR2T T dotRibendT closetozeroroundoffTif T 0z transposebp z transposebdisppdispzdispb is orthogonal to Col Aquitelsep A transposeA A transposeAbdisppz transposeb transposepD dotp zif absD 1E7dispYes p and z are orthogonal Great JobelsedispOops Is there a bug in my codeendendendelsedispNo solution dimensions of A and b disagreep symemptyvectorreturnendExercise36 aAmagic6AA14b16A 35 1 6 263 32 7 2131 9 2 228 28 33 1730 5 34 124 36 29 13b 1 2 3 4 5 6projAb094922159929492391805128759180Yes p and z are orthogonal Great Jobans 094922159929492391805128759180Exercise36 bAmagic6Eeye6bE6A 35 1 6 26 19 243 32 7 21 23 2531 9 2 22 27 208 28 33 17 10 1530 5 34 12 14 164 36 29 13 18 11b 0 0 0 0 0
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