[[7,2,-8,4,6],[-3,-1,4,-2,-3],[color(teal)(6),color(teal)(2),color(teal)(2),color(teal)(4),color(teal)(7)],[1,3,7,5,1],[color(blue)(-2),color(blue)(2),color(blue)(3),color(blue)(4),color(blue)(7)]]=
->row5-row3->row5
[[color(teal)(7),color(teal)(2),-color(teal)(8),color(teal)(4),color(teal)(6)],[color(blue)(-3),color(blue)(-1),color(blue)(4),color(blue)(-2),color(blue)(-3)],[6,2,2,4,7],[1,3,7,5,1],[-8,0,1,0,0]]=
->row1+2*row2->row1
[[1,color(magenta)(0),color(orange)(0),0,0],[-3,color(magenta)(-1),color(orange)(4),-2,-3],[6,color(magenta)(2),color(orange)(2),4,7],[1,color(magenta)(3),color(orange)(7),5,1],[-8,color(magenta)(0),color(orange)(1),0,0]]=
-> changing column2 with column3
-[[1,0,0,0,0],[color(teal)(-3),color(teal)(4),color(teal)(-1),color(teal)(-2),color(teal)(-3)],[6,2,2,4,7],[1,7,3,5,1],[color(blue)(-8),color(blue)(1),color(blue)(0),color(blue)(0),color(blue)(0)]]=
-> changing row2 with row5
[[1,0,0,0,0],[-8,1,0,0,0],[color(teal)(6),color(teal)(2),color(teal)(2),color(teal)(4),color(teal)(7)],[1,7,3,5,1],[color(blue)(-3),color(blue)(4),color(blue)(-1),color(blue)(-2),color(blue)(-3)]]=
->row3+2*row5->row3
[[1,0,color(magenta)(0),0,color(orange)(0)],[-8,1,color(magenta)(0),0,color(orange)(0)],[0,10,color(magenta)(0),0,color(orange)(1)],[1,7,color(magenta)(3),5,color(orange)(1)],[-3,4,color(magenta)(-1),-2,color(orange)(-3)]]=
-> changing column3 with column5
-[[1,0,0,0,0],[-8,1,0,0,0],[0,10,1,0,0],[color(teal)(1),color(teal)(7),color(teal)(1),color(teal)(5),color(teal)(3)],[color(blue)(-3),color(blue)(4),color(blue)(-3),color(blue)(-2),color(blue)(-1)]]=
->row4+3*row5->row4
-[[1,0,0,0,0],[-8,1,0,0,0],[0,10,1,0,0],[-8,19,-8,-1,0],[-3,4,-3,-2,-1]]=
=-1*1*1*(-1)(-1)=-1
