Maple 9 Learning Guide - Maplesoft

96 • Chapter 4: Maple Organization⎡ ⎤−_t0 3⎣ −_t0 3⎦_t0 3The vectors are linearly dependent since each is a linear product of avariable. Thus, they cannot form a basis. The RowSpace command returnsa basis for the vector space.> b:=RowSpace(vector_space);b := [[1, 0, 1, −1], [0, 1, 1, −2]]> b1:=b[1]; b2:=b[2];b1 := [1, 0, 1, −1]b2 := [0, 1, 1, −2]> basis:=;basis :=[ ]1 0 1 −10 1 1 −2Express [1, 2, 3, −5] in coordinates with respect to this basis.> LinearSolve( Transpose(basis), );[ ] 12The Matlab PackageThe Matlab package enables you to call selected MATLAB functions froma Maple session, provided you have MATLAB installed on your system. 1MATLAB is an abbreviation of matrix laboratory and is a popular numericalcomputation package, used extensively by engineers and othercomputing professionals.1 There is also a Symbolic Computation Toolbox available for MATLAB that allowsyou to call Maple commands from MATLAB.