• Support PF! Buy your school textbooks, materials and every day products Here!

Linear algebra

  • #1
Let a,b,c be three 3x1 vectors. Let A be a 3x3 upper triangular matrix which ensures that the 3x1 vectors d,e and f obtained using

[d e f]=A[a b c]

are orthogonal.

a)Express the elements of A in terms of vectors a,b and c.
b)what is the condition on a,b and c which allows us to find an orthogonalizing matrix A?
c)what is the condition on a,b and d which would allow that A be a diagonal matrix?


please help me to solve problem
 

Answers and Replies

  • #2
arildno
Science Advisor
Homework Helper
Gold Member
Dearly Missed
9,970
131
Show us your work. No pain, no gain.
 
  • #3
I am sure I can solve the problem . I just want one hint to start the problem.
 
  • #4
arildno
Science Advisor
Homework Helper
Gold Member
Dearly Missed
9,970
131
Hint:
Read your textbook.
 

Related Threads for: Linear algebra

Replies
9
Views
701
  • Last Post
Replies
3
Views
833
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
1
Views
554
  • Last Post
Replies
14
Views
895
  • Last Post
Replies
12
Views
1K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
1
Views
1K
Top