Explanation → DeterminantsEvidenceA complete worked3×3 inverse calculation: check the determinant, evaluate nine minors, apply cofactor signs, transpose to form the classical adjugate, and divide by the determinant. Original notes distinguish submatrices, minor determinants and signed cofactors, and independently verify both identity products. The general theorem is applied rather than proved.
Explanation → DeterminantsEvidenceConnection evidence is not yet available in this language.
Content location → MatricesEvidenceA real square matrix with a nonzero determinant is invertible. The source applies this criterion to its given matrix.
Content location → MatricesEvidenceConnection evidence is not yet available in this language.
Explanation → Find a Matrix Inverse Using the Classical AdjugateEvidenceA complete worked3×3 inverse calculation: check the determinant, evaluate nine minors, apply cofactor signs, transpose to form the classical adjugate, and divide by the determinant. Original notes distinguish submatrices, minor determinants and signed cofactors, and independently verify both identity products. The general theorem is applied rather than proved.