Lewati ke konten utama

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Diagram interaktif dengan empat penggeser yang disusun dalam larik \(2\times2\) dan memungkinkan pembaca mendefinisikan matriks \(A\text{.}\)

Di sebelah kiri bawah penggeser terdapat kisi koordinat dan sumbu \(1\times1\) standar, beserta lingkaran satuan dan vektor satuan \(\xvec\) yang dapat digerakkan mengelilingi lingkaran satuan.

Di sebelah kanan bawah penggeser terdapat kisi koordinat \(1\times1\) standar beserta sumbu-sumbunya. Lingkaran satuan di sebelah kiri ditransformasikan oleh matriks menjadi elips di sebelah kanan. Ketika vektor \(\xvec\) di sebelah kiri digerakkan mengelilingi lingkaran satuan, vektor \(A\xvec\) bergerak mengelilingi elips. Terdapat vektor kedua, yaitu vektor satuan yang menunjuk ke arah yang sama dengan \(A\xvec\text{.}\) Ditampilkan pula sebuah persegi panjang yang tingginya menyatakan \(\len{A\xvec}\text{,}\) panjang \(A\xvec\text{.}\)

Petunjuk.

Anda dapat memilih matriks \(2\times2\) \(A=\begin{bmatrix} a \amp b \\ c \amp d \\ \end{bmatrix}\) menggunakan empat penggeser di bagian atas diagram. Di sebelah kiri, Anda dapat mengubah vektor satuan merah \(\xvec\) dengan mengeklik ujung panah vektor tersebut.