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カテゴリー: Linear Algebra

Linear Algebra
2021-07-18
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Matrix Inverse Matrix Transposed Matrix Symmetric Matrix Alternating Matrix Diagonal Matrix Orthogonal matrix […]

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Transposed Matrix
2021-07-04
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Suppose that matrix A is given. Then the transposed matrix of A is matrix whose column are formed from the cor […]

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Proof | Property of Transposed Matrix (2)
2021-07-04
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Proof Suppose that A and B are matrices as follows $$A=\begin{bmatrix}a_{11} &a_{12}&\cdots&a_{1m} […]

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Proof | Property of Transposed Matrix (3)
2021-07-04
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Proof Suppose that A is matrix. Then we have $$A=\begin{bmatrix}a_{11} &a_{12}&\cdots&a_{1m}\\a_{2 […]

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Proof | Property of Transposed Matrix (4)
2021-07-04
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Proof Suppose that A is an matrix and B is a matrix as follows $$A=\begin{bmatrix}a_{11} &a_{12}&\cdot […]

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Alternating Martix
2021-07-01
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A alternating matrix is a matrix A such that $$A^{t}=-A $$ where is a transposed matrix of A. Such a matrix is […]

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Scalar Triple Products
2021-03-20
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We can write the scalar triple product using the notation of determinants: $$\mathbf{a}\cdot (\mathbf{b}\times […]

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