Dönüşüm matrisi

Lineer cebirde, doğrusal dönüşümler matrislerle temsil edilebilir. $\mathbb {R} ^{n}$ 'den $\mathbb {R} ^{m}$ 'ye bir doğrusal dönüşüm olan $T$ , $n$ girdisi olan sütun vektör ${\vec {x}}$ ve $m\times n$ 'lik bir $A$ matrisi için,

T({\vec {x}})=\mathbf {A} {\vec {x}}

ifadesi $T$ 'nin dönüşüm matrisidir. $A$ matrisinin boyutları ve $T$ dönüşümünün tanım kümesinin boyutları ( $\mathbb {R} ^{n}\rightarrow \mathbb {R} ^{m}$ ) uyumlu olmalıdır.

Bazı yazarlar satır vektöre göre dönüşüm matrisi tanımlamayı tercih etmektedir.

Matematik ile ilgili bu madde taslak seviyesindedir. Madde içeriğini genişleterek Vikipedi'ye katkı sağlayabilirsiniz.

g t d Lineer cebir
Temel kavramlar	Skaler Vektör Vektör uzayı Skaler çarpım Vektörel izdüşüm Doğrusal germe Doğrusal dönüşüm İzdüşüm Doğrusal bağımsızlık Doğrusal birleşim Taban Taban değişimi Satır vektör Sütun vektör Satır ve sütun uzayları Boşuzay Özdeğer, özvektör, özuzay Tersçapraz Doğrusal denklemler
Matrisler	Blok Ayrışım Tersinir Minor Çarpım Rank Dönüşüm Cramer kuralı Gauss eleme yöntemi
Çifte doğrusallık	Ortogonallik Nokta çarpım İç çarpım uzayı Dış çarpım Kronecker çarpımı Gram–Schmidt işlemi
Çokludoğrusal cebir	Determinant Çapraz çarpım Üçlü çarpım Geometrik cebir Dışsal cebir Bivector Multivector Tensör Outermorphism
Vektör uzayı yapıları	Fonksiyon Dual Bölüm Altuzay Tensör çarpımı
Nümerik	Kayan nokta Nümerik stabilite Seyrek matris
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