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matrix
{{6, -7, 10}, {0, 3, -1}, {0, 5, -7}}
10*{{6, -7, 10}, {0, 3, -1}, {0, 5, -7}}
{{1,2,3},{3,2,1},{2,1,3}}*{{4,5,6},{6,5,4},{4,6,5}}
{{1,2,3},{3,2,1},{2,1,3}}^(-1)
{{1,2,3},{3,2,1},{2,1,3}}^(-1)*{{1,2,3},{3,2,1},{2,1,3}}
x+y+z=1 & x-y-3z=1 & x+2y+z=0
solve {{1,1,1},{1,-1,-3},{1,2,1}}*{{x},{y},{z}}={{1},{1},{0}}
x+y+z=1 & x-y-3z=1 & 2x+2y+2z=0
x+y+z=1 & x-y-3z=1 & 2x+2y+2z=2
det{{6, -7, 10}, {0, 3, -1}, {0, 5, -7}}
inv{{6, -7, 10}, {0, 3, -1}, {0, 5, -7}}
 ALTRO