If $Z=XA$ and $A$ is a non-singular matrix, what is the dimension of $A$?
2026-03-27 20:12:11.1774642331
Linear Transformations of Data (Econometrics)
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Typically, the term "non-singular" is only used to describe square matrices, so presumably we know that $A$ is square. If $X$ is $n \times k$ and if the product $XA$ is conformable, then $A$ must have $k$ rows.
We conclude that $A$ must be $k \times k$.