Óscar Montero Fernández Apps

LINEAR ALGEBRA PLUS CALCULATOR (matrix, equations)
Óscar Montero Fernández
LINEAR ALGEBRA PLUS is surprinsingly intuitive and easy touse.Videos containing examples of all its capabilities areavailable onthe website below. In them, you can see how fast andeasy to manageit is. A medium or long press on the solution isenough to show thesteps followed to solve the exercise. It allowsyou to save allcalculations in a LaTex file so that it can beturned into a pdfdocument. WITHOUT ADVERTISEMENTS MATRICES: Up to 8matrices, withup to 10 rows and columns, can be stored in variablesA, B, ...X,and then used in further calculus. The programme cancalculate thedeterminant, rank and inverse of each matrix. Complexmatrixexpressions (A*(B^(-1)-3A) can be easily solved, and all thestepsare shown. It evaluates the determinant, rank and inverseofmatrices with one parameter. It also obtains lowertriangularmatrice, even with a parameter, displaying the steps ofthe Gaussand Gauss-Jordan method. It also calculates thecharacteristicpolynomial, eigenvalues and eigenvectors ofendomorphisms andchange of basis matrices P y P^(-1). LINEARSYSTEMS OF EQUATIONS:It classifies and solves Dependent /Independent Consistent Systemsor Inconsistent Systems of up to 10equations, even with oneparameter. It also shows the steps to solvethe system (Gauss'Method, Inverse Matrix Method and Cramer's Rule).POLYNOMIALS: Upto 8 polynomials (max grade = 9), can be stored invariables A, B,...P and then used in different polynomialexpressions. Itfactorises and calculates rational and real rootosof polynomials .Polynomial divisions are possible (all the stepsare given).Complex expressions can be easily solved (p^3*(2p-q^2)),whichmakes it easy to solve a great variety of equations. It showsallthe steps necessary to factor a polynomial without more thanmakinga long click on the solution. 3D GEOMETRY: This module allowsyouto enter points, vectors, straight lines and planes, andthencalculate new ones dependent on the first ones ("linewhichcontains a point and is perpendicular to a plane","pointsymmetrical about a straight line" ... ) or make calculuswith them(intersections, distances, relative positions, angles,change ofbasis ...). By making a long press on the screen, it showsall thenecessary steps to obtain the solutions (by various methodswhenpossible). 2D GEOMETRY: This module allows you to enterpoints,vectors and straight lines, and then calculate new onesdependenton the first ones ("line which contains a point andisperpendicular to another line", "point symmetrical about astraightline" ... ) or make calculus with them (intersections,distances,relative positions, angles, change of basis ...). Bymaking a longpress on the screen, it shows all the necessary stepsto obtain thesolutions. MORE INFORMATION:WEBSITE:https://drive.google.com/open?id=0B5-EDC_0R_mHUF96bmNfZWtwMWM