If the matrices 
,
, 
, and 
satisfy
 |
then
![[I X; 0 I][A C; 0 B][I -X; 0 I]=[A 0; 0 B],](/images/equations/RothsRemovalRule/NumberedEquation2.svg) |
where 
is the identity matrix.
Roth's Removal Rule
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References
Roth, W. E. "The Equations
and 
in Matrices." Proc. Amer. Math. Soc. 3,
392-396, 1952.Turnbull, H. W. and Aitken, A. C. An
Introduction to the Theory of Canonical Matrices. New York: Dover, p. 422,
1961.Referenced on Wolfram|Alpha
Roth's Removal RuleCite this as:
Weisstein, Eric W. "Roth's Removal Rule." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RothsRemovalRule.html