A nonidentity integer matrix with determinant one T:matrix([1,1],[0,1]); 1 Enter any integer \(2\times2\) matrix \(A\ne I_2\) with \(\det(A)=1\).

[[input:ans]] [[validation:ans]]

[[feedback:integers]] [[feedback:determinant]] [[feedback:nonidentity]]

]]> 10.1 ansmatrixT8100111 integers110PythonCheckerans{"checker": "matrix_property", "options": {"property": "integer_entries"}}true =1-1integers-T =0-1integers-F determinant110PythonCheckerans{"checker": "matrix_property", "options": {"property": "determinant"}}1 =1-1determinant-T =0-1determinant-F nonidentity110PythonCheckerans{"checker": "matrix_property", "options": {"property": "identity"}}false =1-1nonidentity-T =0-1nonidentity-F 1ansmatrix([1,1],[0,1])integers10integers-Tdeterminant10determinant-Tnonidentity10nonidentity-T 2ansmatrix([2,1],[1,1])integers10integers-Tdeterminant10determinant-Tnonidentity10nonidentity-T 3ansmatrix([0,-1],[1,0])integers10integers-Tdeterminant10determinant-Tnonidentity10nonidentity-T 4ansmatrix([1,0],[0,1])integers10integers-Tdeterminant10determinant-Tnonidentity00.1nonidentity-F 5ansmatrix([1/2,1],[0,2])integers00.1integers-Fdeterminant10determinant-Tnonidentity10nonidentity-T 6ansmatrix([2,0],[0,2])integers10integers-Tdeterminant00.1determinant-Fnonidentity10nonidentity-T 7ansmatrix([0,0],[0,0])integers10integers-Tdeterminant00.1determinant-Fnonidentity10nonidentity-T