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Find a Matrix Inverse Using the Classical Adjugate

video
  • Explanation → Determinants
    EvidenceA 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 → Determinants
    EvidenceConnection evidence is not yet available in this language.
  • Content location → Matrices
    EvidenceA real square matrix with a nonzero determinant is invertible. The source applies this criterion to its given matrix.
  • Content location → Matrices
    EvidenceConnection evidence is not yet available in this language.

Determinants

concept
  • Explanation → Find a Matrix Inverse Using the Classical Adjugate
    EvidenceA 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 → Find a Matrix Inverse Using the Classical Adjugate
    EvidenceConnection evidence is not yet available in this language.

Matrices

concept
  • Explanation → Matrices
    EvidenceA real square matrix with a nonzero determinant is invertible. The source applies this criterion to its given matrix.
  • Explanation → Matrices
    EvidenceConnection evidence is not yet available in this language.

Matrices

segment
  • Content location → Find a Matrix Inverse Using the Classical Adjugate
    EvidenceA real square matrix with a nonzero determinant is invertible. The source applies this criterion to its given matrix.
  • Explanation → Matrices
    EvidenceA real square matrix with a nonzero determinant is invertible. The source applies this criterion to its given matrix.