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Lower triangular matrix

  • Thread starter cragar
  • Start date
  • #1
2,544
2

Homework Statement


I keep trying to turn a 4x4 matrix into a lower triangular matrix and then multiply along the diagonal to get the determinant , but I cant get the answer in the back of the book , is there some property about determinates I am missing .
 

Answers and Replies

  • #2
33,172
4,858
Hard to say without seeing your work.

BTW, the word is determinant.
 
  • #3
2,544
2
ok as long as we add rows together it doesn't change the det(A)
i can go 5R1+R2=R2 and it wont change the det(A) correct.
 
  • #4
33,172
4,858
Right. Of the three row operations, the only ones that change the value of the determinant are replacing a row by a multiple of itself (Rn <-- k*Rn) and switching two rows (Rn <--> Rm).
 

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