Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

Wat is het kwadraat van de 2x2 matrix [a_ij] met a₁₁ = 1 a₁₂ = 3 a₂₁ = 0 en a₂₂ = 1 ?	A. \(\small\begin{bmatrix}1&6\\0&1\\\end{bmatrix}\)
	B. \(\small\begin{bmatrix}1&9\\0&1\\\end{bmatrix}\)
	C. \(\small\begin{bmatrix}1&0\\3&1\\\end{bmatrix}\)
	D. \(\small\begin{bmatrix}1&-3\\0&1\\\end{bmatrix}\)
	E. \(\small\begin{bmatrix}-1&0\\3&-1\\\end{bmatrix}\)

[ 5-6874 - op net sinds 4.5.13-(E)-21.11.2024 ]

Translation in E N G L I S H

What is the square of the 2x2 matrix [a_ij] with a₁₁=1 a₁₂=3 a₂₁=0 and a₂₂=1 ? See above

Oplossing - Solution

$\begin{bmatrix}1 &3 \\0 & 1 \\\end{bmatrix}\cdot \begin{bmatrix}1 &3 \\0 & 1 \\\end{bmatrix}=\begin{bmatrix}1 &6 \\0 & 1 \\\end{bmatrix}$

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