Linearni strel --- Uvod ---

To je vaja o učinkovanju linearnih transformacij na točke v ravnini. Naj bo $M=\left(\begin{array}{cc}a& b\\ c& d\\ \end{array}\right)$ 2×2 matrika, ki določa linearno transformacijo prostora ${ℝ}^2$. Če točko predstavimo s stolpcem $p=\left(\begin{array}{c}x\\ y\end{array}\right)\in {ℝ}^2$, je torej njena slika stolpec $q=Mp=\left(\begin{array}{c}ax+by\\ cx+dy\end{array}\right)$.

Pri vaji sta podana matrika $M$ in graf z označeno točko v ravnini. Določiti morate sliko te točke in nanjo klikniti z miško. Po nekaj zaporednih poskusih boste dobili oceno natančnosti vaših strelov.

Izberite stopnjo zahtevnosti : 1 , 2 , 3 , 4 , 5 , 6 , 7 .

• Description: določanje slike točke glede na linearno transformacijo. This is the main site of WIMS (WWW Interactive Multipurpose Server): interactive exercises, online calculators and plotters, mathematical recreation and games
• Keywords: wims, mathematics, mathematical, math, maths, interactive mathematics, interactive math, interactive maths, mathematic, online, calculator, graphing, exercise, exercice, puzzle, calculus, K-12, algebra, mathématique, interactive, interactive mathematics, interactive mathematical, interactive math, interactive maths, mathematical education, enseignement mathématique, mathematics teaching, teaching mathematics, algebra, geometry, calculus, function, curve, surface, graphing, virtual class, virtual classes, virtual classroom, virtual classrooms, interactive documents, interactive document, algebra, linear_algebra, linear_maps, matrix, vector_space