Similar Hw 9 26. Beer Production A cort, b Q5 The table shows the NA beer...

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علي Similar Hw 9 26. Beer Production A cort, b Q5 The table shows the NA beer productions y (in thousand of barrels per day) from wob through 2012. Find the least squares linear polynomials for the data. Use the model to predict beer production in 2018. Let t represents the year. with tab Come spending to 226 Yea web 2007 3498 2009 2011 2012 2013 15.3 15:4 159 76.1 16.7 17.9 19.3 b[ 24: Define T₁ R² R² by T(x) = proj✓ where u= [+] a) Find A, the standard matrix for T, and show that A² = A. b) show that (I-A)² = (I-A) c) Find Av and (I-Alx for va[S] d) Sketch the graph of a, x, Ar and (I-A)v. Q3: For the following System of linear equations (a) Find a basis for the solution space (6) Find the dimension of the solution spare Question 2 (a) Find an _matrix B= [² ! ] A= [₁] orthogmal matrix P such that PAP is a diagonal ta ty Chint: Basis of the solution space is the basis of the mult space) 2X1 +4x₂+3X-6X4=0 X +2X2+2X3-5X4=0 3X₁ +682 +5X₁-11X4=0 43 eng Mec or Co conc 8-01 Vin b) Determine whether B is diagonalizable ( with explanation) c) If it is, cliaganalize B and determine A d) Determine whether B and Care Similar matrices Q1 = A = [ 3 ] a) Find eigenvalues of AA and find a complete set of orthonermal eigenrectors of ATA (b) Apply Gram - Schmidt process (orthenormalization) to the column of the matrix A. Comment on the resulting output. علي Similar Hw 9 26. Beer Production A cort, b Q5 The table shows the NA beer productions y (in thousand of barrels per day) from wob through 2012. Find the least squares linear polynomials for the data. Use the model to predict beer production in 2018. Let t represents the year. with tab Come spending to 226 Yea web 2007 3498 2009 2011 2012 2013 15.3 15:4 159 76.1 16.7 17.9 19.3 b[ 24: Define T₁ R² R² by T(x) = proj✓ where u= [+] a) Find A, the standard matrix for T, and show that A² = A. b) show that (I-A)² = (I-A) c) Find Av and (I-Alx for va[S] d) Sketch the graph of a, x, Ar and (I-A)v. Q3: For the following System of linear equations (a) Find a basis for the solution space (6) Find the dimension of the solution spare Question 2 (a) Find an _matrix B= [² ! ] A= [₁] orthogmal matrix P such that PAP is a diagonal ta ty Chint: Basis of the solution space is the basis of the mult space) 2X1 +4x₂+3X-6X4=0 X +2X2+2X3-5X4=0 3X₁ +682 +5X₁-11X4=0 43 eng Mec or Co conc 8-01 Vin b) Determine whether B is diagonalizable ( with explanation) c) If it is, cliaganalize B and determine A d) Determine whether B and Care Similar matrices Q1 = A = [ 3 ] a) Find eigenvalues of AA and find a complete set of orthonermal eigenrectors of ATA (b) Apply Gram - Schmidt process (orthenormalization) to the column of the matrix A. Comment on the resulting output.

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Q Year Been Production So where if t 2012 2013 179 193 2010 2011 167 161 then repre... View the full answer