- #1

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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.

- 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

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Which matrices if any are given?

- #3

Hurkyl

Staff Emeritus

Science Advisor

Gold Member

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

- #4

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- #5

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

- #6

daniel_i_l

Gold Member

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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

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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.

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