transformation matrix

Noun

(linear algebra) A matrix (of dimension n×m) that represents some linear transformation from ℝᵐ→ℝⁿ.

Japanese Meaning

線形代数学において、ℝᵐからℝⁿへの線形変換を表現するための行列。 / ある線形変換（次元 m から n への変換）を数値的に示すための行列。

What is this buttons?

To convert coordinates between bases, compute the transformation matrix and apply it to each vector.

Google Translation / DeepL Translation

基底間で座標を変換するには、線形変換を表す行列を計算して各ベクトルに適用します。

Details

Sense（1）

(linear algebra) A matrix (of dimension n×m) that represents some linear transformation from ℝᵐ→ℝⁿ.

Given a linear transformation T(x) in functional form, its transformation matrix can be constructed by applying T to each vector of the standard basis, then inserting the results into the columns of the new matrix.

Google Translation / DeepL Translation

Details

transformation matrices

（ plural ）

transformation matrixes

（ plural ）

Details

transformation matrix

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