Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Given two matrices $X$ and $Y$, with $Y$ invertible. Suppose that

$$X=YZY^{-1}.$$

so

$$Z=Y^{-1}XY.$$

In what order should I do the corresponding matrix multiplications to compute $Z$ ?

Thanks.

share|improve this question
    
You seem to already have solved for $Z$ by multiplying both sides by $Y^{-1}$ from the left and by $Y$ from the right. –  Mårten W Apr 20 '13 at 18:49

1 Answer 1

up vote 3 down vote accepted

Matrix multiplication is associative, that is given matrices $A,B$ and $C$,

$$A(BC)=(AB)C.$$

So the order in which you carry out the multiplication does not matter, you will get the same result.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.