using System; using System.Collections.Generic; using System.Linq; using System.Text; using L = Science.Mathematics.LinearAlgebra; namespace Strang3Ed.Chapter04.Section1 { public class Example04 { public Example04() { } private string result; public string Result { get{return result;} } public void Compute() { double[,] x = { { 3.0, 0.0, 0.0, 0.0, 0.0}, { 0.0, 5.0, 0.0, 0.0, 0.0}, { 0.0, 0.0, 0.0, 0.0, 0.0}}; L.Matrix A = new L.Matrix(x); L.ColumnSpace C = new L.ColumnSpace(A); foreach (L.Vector v in C.Basis) result += v.ToString() + "\r\n"; result += C.Dimension.ToString() + "\r\n" + "\r\n"; L.LeftNullspace LN = new L.LeftNullspace(A); foreach (L.Vector v in LN.Basis) result += v.ToString() + "\r\n"; result += LN.Dimension.ToString() + "\r\n" + "\r\n"; L.RowSpace R = new L.RowSpace(A); foreach (L.Vector v in R.Basis) result += v.ToString() + "\r\n"; result += R.Dimension.ToString() + "\r\n" + "\r\n"; L.Nullspace N = new L.Nullspace(A); foreach (L.Vector v in N.Basis) result += v.ToString() + "\r\n"; result += N.Dimension.ToString() + "\r\n"; } } } /* 3 0 0 0 5 0 2 0 0 1 1 3 0 0 0 0 0 5 0 0 0 2 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 3 */