Generalized Vectorization, Cross-Products, and Matrix Calculus by Darrell A. Turkington & Darrell A. Turkington

Author:Darrell A. Turkington & Darrell A. Turkington [Turkington]
Language: eng
Format: epub
Publisher: Cambridge University Press
Published: 2013-01-21T16:00:00+00:00

regardless of whether C and D are matrix functions of X or not

and the converse statements are true also.

For this case,

In terms of γY/γX, we have

In terms of the full matrices, we can express the Second Transformation Principle as saying that the following statements are equivalent:

As an example of the use of this second transformation principle, let Y = AX′B where A is p × n and B is m × q. Then, it is known that

It follows that

and that

In terms of the entire matrices, we

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