Adjacency Matrices with Iterated Vectors
Loading the math board and drawing, please wait…
This example demonstrates the dynamic changes in adjacency matrices through iterated vectors. It involves matrix operations and vector manipulations, suitable for high school mathematics. The commands used, such as matrix1, matrix2, and vector, show the basic operations of matrices and vectors. It is suitable for teaching coordinate geometry and linear algebra.
GeoGebra Commands & Parameters
{{0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 1, 0}, {0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0}}{{0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 1, 1, 0}, {1, 1, 0, 1, 1, 0, 1}, {0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 1, 0}}{{1}, {1}, {1}, {1}, {1}, {1}}(matrix1 * a)(matrix1 * b)(matrix1 * c)(matrix1 * d)(matrix1 * e)(matrix1 * f)(matrix1 * g)(matrix1 * h)(matrix1 * i)(matrix1 * j)(matrix1 * k)(matrix1 * l)(matrix1 * m)(matrix1 * n)(matrix1 * o)p / sqrt((2 * 126336^(2)) + 408832^(2) + (2 * 204416^(2)) + 252672^(2)){{1}, {1}, {1}, {1}, {1}, {1}, {1}}(matrix2 * A)(matrix2 * B)(matrix2 * C)(matrix2 * D)(matrix2 * E)(matrix2 * F)(matrix2 * G)(matrix2 * H)(matrix2 * I)(matrix2 * J)(matrix2 * K)(matrix2 * L)(matrix2 * M)(matrix2 * N)(matrix2 * O)P / sqrt((2 * 227960832^(2)) + (2 * 422803456^(2)) + 389652480^(2) + (2 * 299879424^(2)))
AI Drawing Prompt Reference
Draw a graph with 6 nodes connected to form a hexagon. Each node is represented by a vector, and the connections between nodes are shown through matrix operations. Start by creating a 6x6 adjacency matrix, then use matrix multiplication to iteratively update the vectors, demonstrating how matrix operations change the vector values.
The prompt above was compiled from the original drawing commands and is for reference only.