Class 4, Math 235 W08

Further Properties of Determinants and Applications(pdf file Sect 3.2, suppl. notes)

• det(AB)=det(A)det(B) (and use it to get e.g. det(A^3B^4) from det(A) and det(B); or find det(inverse of A) from det(A))
• Applic.
  • Finding the inverse of A
  • Cramer's rule for solving Ax=b
  • (volume of a box formed from the rows of A ( = det(A)) - to be done next lecture)