【向量代数】（终结篇11）

白图格吉扎布 2017-11-8 23:40

The Th -Market Matrices make a Group of multiplication. We can do lots of calculation (basic arithmetic) on diagonal matrices just like we do on real numbers.

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【向量代数】（终结篇10）

白图格吉扎布 2017-11-8 00:31

The stocks are not for free, so they all non-zero, positive number, Their reciprocals make the inverse of Th -MarketMat. Th -Market Mat can be R-multiplied and L-multiplied, and the product is another 17-vector. It means that the multiplication is close; Has inverse, ...

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【向量代数】（终结篇09）

白图格吉扎布 2017-11-8 00:28

If the diagonal elements of the Th -matrix are replaced by non-zero real numbers, then it becomes a normal diagonal matrix and a normal diagonal matrix is a Multiplicative Group. Then the Th -matrix has some practical applications. For example, if we replaced the diagonal ...

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【向量代数】（终结篇08）

白图格吉扎布 2017-11-8 00:22

Th -Matrix is the Identity Matrix, which is a matrix of multiplicative identity, and has a few special properties: 1) It can be multiplied by the left or right by a same dimensional matrix, but remains the same: I*A = A*I = A 2) If the product of two matrices A and B is an Identity Ma ...

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【向量代数】（终结篇07）

白图格吉扎布 2017-11-8 00:15

Since the seventeen ’s=1 are mutually perpendicular to each other in 17-space, they form a 17*17 Diagonal Matrix. We named it Theodorus-Matrix, or Th -Matrix.The diagonal elements of this 17*17 Th -Matrix are equal to 1, and the non-diagonal elements are zeros: ...

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【向量代数】（终结篇06）

白图格吉扎布 2017-11-8 00:11

Next topic, Diagonal Matrix Now,the sequential 17 ones (unit vectors) that are orthogonal to each other, can be expressed as a Matrix

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【向量代数】（终结篇03）

白图格吉扎布 2017-11-7 23:24

Lets start with a 2500 year old Theodorus Spiral

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