Question

Use Gauss-Jordan row reduction to solve the given system of equations. HINT (See Examples 1-6. (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer in terms of z, where x = x(2) and y = y(2).) 3x - y + z = 3 4X - Y + Z = 2

Answer 1

L ' I consider given System of differential equation. 30-4+ Z=3 42 -y +2=2 .. We have to solve given system using gauss -jozelan eliminition Melhud. In this method we reduce Qugu mated matrix 07 system into its row Beduced echelon form. considere auqumated matry 07 given system (3art 2137 4 - 12 R - - rt V+ 14 -1 112 R P2-481 R2 3 R2 si ho 117 lo 1 -16] ARTIR si 00177 which now reduced echelon form of clegum atent mały from this cue hawer 30-1 y-z =-6 Here Z is free Vornable neey 24- cy. -6+2

1 given 12- system and is depedent y = –6+Z and solution of system is