JSFHQuestionI start Maple and load the DEtools and LinearAlgebra 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then try to transform a simple set of ordinary linear equationsQyg+SSRlcTFHNiIvLS1JIkRHRiU2I0kieEdGJTYjSSJ0R0YlLCZGKyIiI0kieUdGJSEiIyEiIj5JJGVxMkdGJS8tLUYpNiNGMEYsLCZGK0YyRjAiIiRGMj5JJGVxM0dGJS8tLUYpNiNJInpHRiVGLCwoRitGL0YwRi9GQSIiIkYyprint(); # input placeholderinto a Matrix Form, using the coeffs command PkkjQTFHNiI3JTcjLUknY29lZmZzRyUqcHJvdGVjdGVkRzYjLUkkcmhzR0YpNiNJJGVxMUdGJDcjLUYoNiMtRiw2I0kkZXEyR0YkNyMtRig2JC1GLDYjSSRlcTNHRiQ3JUkieEdGJEkieUdGJEkiekdGJA==print(); # input placeholderPkkiQUc2Ii1JKGNvbnZlcnRHJSpwcm90ZWN0ZWRHNiRJI0ExR0YkSSdNYXRyaXhHRiQ=print(); # input placeholderbut end up with the wrong result... WHY?AnswerThis is a two part answer, first how could you solve it much easily, then why your method has failedSo, your goal to convert the system into a Matrix form is EASILY achieved using Maple's built in function to do just that!First declare the system and set of variablesQyY+SSRzeXNHNiI3JUkkZXExR0YlSSRlcTJHRiVJJGVxM0dGJSIiIj5JJHZhckdGJTclSSJ4R0YlSSJ5R0YlSSJ6R0YlISIiprint(); # input placeholdernext simply instruct Maple to generate the matrix for you...QyQtSS9HZW5lcmF0ZU1hdHJpeEc2IjYkSSRzeXNHRiVJJHZhckdGJSIiIg==print(); # input placeholderJSFHWhy has your method failed than?Simply it is not designed for it. Furthermore, you hit a bug on the road...Not designed for is easily show when your set of equations has a zero coefficient with any variable, with a devistating effect for your conversion if it is not the last element, e.g.Pkkidkc2Ii1JJ2NvZWZmc0clKnByb3RlY3RlZEc2IywoSSJ4R0YkIiIkLUkiKkdGJzYkIiIhSSJ5R0YkIiIiSSJ6R0YkIiIjprint(); # input placeholderand conversion of the later into a 3 element vector would pad it with a zero at the trailing elementPkkiVkc2Ii1JKGNvbnZlcnRHJSpwcm90ZWN0ZWRHNiU3I0kidkdGJEknVmVjdG9yRzYkRidJKF9zeXNsaWJHRiQiIiQ=print(); # input placeholderobviously the wrong result...You also have hit a sorting bug, where Maple sort the results as it pleases (and inform you of that!), not as requested. Instructing Maple to expract the coefficients of eq3 with respect to the list of variables LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYmLUYjNigtSSNtaUdGJDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiLEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYlUSJ5RidGNEY3RjotRjE2JVEiekYnRjRGN0Y+Rj4vJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGPg==, one has his order of variables in mindLUknY29lZmZzRyUqcHJvdGVjdGVkRzYlLUkkcmhzR0YkNiNJJGVxM0c2IjclSSJ4R0YqSSJ5R0YqSSJ6R0YqLkkibEdGKg==print(); # input placeholderMaple however sort them differently and reports it in the optional list of variables SSJsRzYi = print(); # input placeholder .JSFHJSFHJSFHTTdSMApJNlJUQUJMRV9TQVZFLzQ0Nzg3NDY1NlgsJSlhbnl0aGluZ0c2IkYlW2dsISIlISEhIyoiJCIkIiIjISIiRiYhIiMiIiQiIiIiIiFGK0YmRiU=TTdSMApJNlJUQUJMRV9TQVZFLzQ0Nzg3NTM3NlgsJSlhbnl0aGluZ0c2IkYlW2dsISIlISEhIyoiJCIkISIjIiIiRiYiIiMhIiRGJiIiIUYqISIiRiU=TTdSMApJNlJUQUJMRV9TQVZFLzQ0Nzg3NTI1NlgqJSlhbnl0aGluZ0c2IkYlW2dsISMlISEhIiQiJCwkLS0lIkRHNiMlInhHNiMlInRHISIiLCQtLUYpNiMlInlHRixGLiwkLS1GKTYjJSJ6R0YsRi5GJQ==TTdSMApJNlJUQUJMRV9TQVZFLzQ0Nzg3NTQ5NlgqJSlhbnl0aGluZ0c2IkYlW2dsISMlISEhIiQiJCIiJCIiIyIiIUYl