55 613
Assignments Done
97,8%
Successfully Done
In November 2017
Your physics homework can be a real challenge, and the due date can be really close — feel free to use our assistance and get the desired result.
Be sure that math assignments completed by our experts will be error-free and done according to your instructions specified in the submitted order form.
Our experts will gladly share their knowledge and help you with programming homework. Keep up with the world’s newest programming trends.

Answer on Linear Algebra Question for Matthew Lind

Question #23266
Let D be a diagonal matrix such that D_mm does not equal D_nn if m does not equal n. Show that if BD = DB then B is a diagonal matrix.
Expert's answer
When multiplying by D from theleft, then all rows of B will be multiplied by appropriate D_nn.
Symmetric condition holds for columns.
When multiplying by D from the right, then all columns of B will be multiplied
by appropriate D_mm.

So, at position (i,j) (where i not equal j) in BD=DB we will have element B_ij
* D_jj = B_ij * D_ii.
Since D_ii <> D_jj then B_ij = 0 . Thus B have to be Diagonal matrix.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question