MatrixAnalysis

Education

Free · Designed for iPad. Not verified for macOS.

Exact fraction arithmetic, not floating point. Determinants, inverses, eigenvalues and equation solving up to 20x20 — entirely offline. Matrix Analysis computes exactly. Most calculators work in floating point, so the determinant of a whole-number matrix comes back as 23.000000000000004 and an inverse arrives full of rounding noise. This one uses exact fraction arithmetic throughout. Integer matrices give integer answers. Inverses come back as fractions like -3/7, not 0.428571... WHAT IT DOES • Determinant, exactly, for matrices up to 20x20 • Inverse and adjugate, as exact fractions • Minors and cofactors • Rank, nullity, trace, transpose and reduced row echelon form • Matrix multiplication • Eigenvalues and eigenvectors, with the characteristic polynomial SOLVING SYSTEMS Type equations the way you write them: 2x + 3y - z = 5 x - y + 2z = 3 3x + y + z = 10 Matrix Analysis builds the system and solves it, answering with your own variable names. It handles every case, not just the tidy one: a unique solution, infinitely many (shown as a particular solution plus a basis of the null space), or none at all — where it tells you the system is inconsistent and why. More unknowns than equations, or more equations than unknowns, both work. EIGENVALUES DONE HONESTLY The characteristic polynomial is computed exactly. Its roots are found numerically, then each one is offered a nearby exact value — so an integer matrix with integer eigenvalues gives exact answers and clean whole-number eigenvectors, while irrational and complex eigenvalues are shown as decimals and clearly marked approximate. You always know which you are looking at. Algebraic and geometric multiplicities are reported, and defective matrices are flagged as such. INPUT THAT FITS HOW YOU WORK • Whole numbers, decimals and fractions such as 3/4 • Paste whole rows at once • Results as exact fractions or rounded decimals, at a tap • Arrow keys move between cells • Share any result to Notes, Mail or Messages NO ACCOUNT, NO NETWORK, NO TRACKING Matrix Analysis does not connect to the internet. There is no sign-in, no analytics and no data collection of any kind. Everything you type stays on your device, and every calculation runs on it. It works in airplane mode because it has never needed anything else. Built for students and engineers who need the answer to be right.

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Matrix Analysis has been rebuilt from the ground up. EXACT ARITHMETIC Calculations now use exact fractions on arbitrary-precision integers instead of floating point. A whole-number matrix gives a whole-number determinant, and inverses come back as fractions rather than rounding noise. MUCH LARGER MATRICES Up to 20x20, raised from 6x6. NEW IN THIS VERSION - Eigenvalues and eigenvectors, with the exact characteristic polynomial - Type equations such as 2x + 3y - z = 5 and solve them directly, answered with your own variable names - Matrix multiplication - Ax = b, including the infinitely-many-solutions and inconsistent cases - Rank, nullity, trace, RREF, minors, cofactors and the adjugate - Paste whole rows at once - Switch between exact fractions and decimals at a tap - Share any result to Notes, Mail or Messages Works entirely offline. No account, no network access, no tracking.

Version 2.0

The developer, hirenkumar patel, indicated that the app’s privacy practices may include handling of data as described below. For more information, see the developer’s privacy policy .

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    Information

    Seller
    • hirenkumar patel
    Size
    • 54.2 MB
    Category
    • Education
    Compatibility
    Requires iOS 15.0 or later.
    • iPhone
      Requires iOS 15.0 or later.
    • iPad
      Requires iPadOS 15.0 or later.
    • iPod touch
      Requires iOS 15.0 or later.
    • Mac
      Requires macOS 12.0 or later and a Mac with Apple M1 chip or later.
    Age Rating
    4+
    Copyright
    • © 2014 Hirenkumar Patel
  • Privacy Policy

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