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Does it make sense?
Recognised characters:
With my limited knowledge of no Mandarin at all, I recognize the vectors to be the 5 chinese elements (metal, wood, water, fire and earth).
The matrix just combines these symbols into new characters, but no clue how most of them are read. Could make sense in the context of alchemy, could be total bs. The few I do recognize work sometimes, like fire + fire = blaze, others don't - or I'm reading them wrong.
A lot of them aren't common words at all. A lot of them with the 金 radical are probably names of elements. At random I looked up 釷 and it's the name for Thorium lol
Only two of them (釷, 鈥: Holmium) are currently used element names.
Can these be used to summon the Chinese Captain Planet?
Some of these are uncommon but they are legit Chinese characters.
I know even less Mandarin that you, so I hit it with Google translate. It translates the vectors the same as you did. It tries to translate the matrix characters with various odd results. It keeps changing, but guesses things like "Holmium sulfide smear" and "Thorium juice stove gui." If I actually take a picture so it can do a full analysis on a still image, it transcribes them into surprisingly accurate unicode characters that look almost exactly like the original. It even includes a pronunciation guide, but the translation just says that they are unintelligible characters. I'm guessing that these are syntactically valid character combinations that are basically nonsense.
It likely tries to read these whole thing as a sentence hence “thorium juice stove gui”.
Yes. I don't know mandarin, but it makes sense if you look at the figures.
On the left side of the equation, the top icon of the column vector is a house. The first icon in the row vector is also a house. So in the matrix on the right side of the equation, the top left icon is two houses.
The rightmost icon in the row vector is a +- sign. So the top right icon in the matrix is a house next to a +- sign.
The middle icon is clearly shortened as a slanted line with two horizontal lines above it on the left side of the merged icon. Because the entire centre cross section of the matrix (the middle row and the middle line form a cross) contain that icon-part on their left side.
The diagonal (top left to bottom right), (the identity), is all double icons in some sense. (House times house is two houses next to each other, running man times running man is two running men on top of each other, etc)
Theiy're all pretty logical in that sense. I haven't a clue what it all means though
The characters in the final matrix are the combination of the characters in the operands, according to the rules of matrix multiplication. (So the characters of the first row and column of the matrix consists of two 金 [metal] etc)