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Running head: LINEAR ALGEBRA ASSIGNMENT1Linear Algebra AssignmentNameInstitution
LINEAR ALGEBRA ASSIGNMENT2LINEAR ALGEBRA ASSIGNMENTQuestion (1a)Gauss Jordan EliminationSwap matrix rowsR1↔R4[−6−42−85323313032−14]“Cancel leading coefficient in rowR2by performing”R2←R2+56R1[−6−42−80−1/31/3−11/3313032−14]“Cancel leading coefficient in rowR3by performing”R3←R3+12R1[−6−42−80−1/311/3−11/30−14−432−14]
LINEAR ALGEBRA ASSIGNMENT3“Cancel leading coefficient in rowR4by performing”R4←R4+12R1[−6−42−80−1/311/3−11/30−14−40000]Swap matrix rowsR2↔R3[−6−42−80−14−40−1/311/3−11/30000]Cancel leading coefficient in rowR3by performingR3←R3−13R2[−6−42−80−14−4007/3−7/30000]Then reduce the matrix to reduced row echelon form“Multiply row by constant”R3←37R3[−6−42−80−14−4001−10000]“Cancel leading coefficient in rowR2by performing”R2←R2−4R3[−6−42−80−100001−10000]“Cancel leading coefficient in rowR1by performing”R1←R1−2R3[−6−40−60−100001−10000]
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