Tricky Transposition 2!

[A] = any specific square matrix


Notice the transposition of the numbers in the matrix cells. Whether you square 1st & transpose 2nd, or transpose 1st & square 2nd, you'll get the same result!

In case you forgot:

The T tells you to transpose a matrix. The only cells that remain unchanged are the ones on the diagonal.

Note: Squaring a single-cell 1-by-1 matrix will simply square the number inside! That's a premise.

Reconsidering the function at the top of the Web page, if you change the exponent, the statement remains true!

(x must be a whole number!)

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© Derek Cumberbatch