- #1

- 1

- 0

I need to find matrix P,Q,R So that PQ=QR

Ive tried so many times but i cant solve it, ive been to three different applicable maths books looking for help but they all where dead ends.

Could someone please help me.

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter Vicis
- Start date

- #1

- 1

- 0

I need to find matrix P,Q,R So that PQ=QR

Ive tried so many times but i cant solve it, ive been to three different applicable maths books looking for help but they all where dead ends.

Could someone please help me.

- #2

- 529

- 1

Which matrices if any are given?

- #3

Hurkyl

Staff Emeritus

Science Advisor

Gold Member

- 14,950

- 19

One solution is for P, Q, and R to each be a zero matrix with the appropriate dimensions.

- #4

- 529

- 1

- #5

- 9

- 0

2)All the three should be identity matrices of the same order.

- #6

daniel_i_l

Gold Member

- 867

- 0

In addition to everything said above the equation will hold if all three matricies are powers of some matrix, or if they're scalar matricies.

- #7

radou

Homework Helper

- 3,120

- 7

Further on, if R is similar to P, then there exists a regular matrix Q such that R = Q^-1 P Q. Multiply from the left with Q and obtain QR = PQ.

So, PQ = QR <=> R is similar to P. That could be one point of view. An example of similar matrices are matrix representations of linear operators in different basis sets.

Share: