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90 • Chapter 3: Finding Solutionsb := [[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), );[ ] 12You can find further information on this package in the ?LinearAlgebrahelp page.The 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.To enable the connection between the two products, first establish theconnection between the two products by entering the command> with(Matlab):The call to the Matlab library automatically executes the openlinkcommand.To determine the eigenvalues and eigenvectors of a matrix of integers,first define the matrix in Maple syntax.1 There is also a Symbolic Computation Toolbox available for MATLAB that allowsyou to call Maple commands from MATLAB.