MatrixAnalysis vs Kahoot! Numbers by DragonBox

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.

Kahoot! Numbers by DragonBox is an award-winning learning game that gives your child a perfect introduction to math and the foundation they need for future math learning. “Kahoot! Numbers by DragonBox is the first thing you should download on a tablet if you have kids 4-8 years old” -Forbes The prestigious Parents magazine names Kahoot! Numbers by DragonBox a best learning app for kids for two years in a row, 2020 and 2021. **REQUIRES A SUBSCRIPTION** Access to the contents and functionality of this app requires a subscription to Kahoot! Kids. The Kahoot! Kids subscription gives your family access to premium Kahoot! features and 7 award-winning learning apps for math and reading. HOW THE GAME WORKS Kahoot! Numbers by DragonBox goes beyond teaching children to count by teaching your child what numbers are, how they work, and what you can do with them. The game makes it easy and fun for your child to develop their number sense and gain an intuitive understanding of numbers. Kahoot! Numbers by DragonBox brings math to life by turning numbers into colorful and relatable characters, called Nooms. The Nooms can be stacked, sliced, combined, sorted, compared and played with, any way your child pleases. By doing this they will learn basic math and learn addition and subtraction with numbers between 1 and 20. FEATURES The app contains 4 different activities for your child to explore, each designed to challenge your child to use the Nooms and basic math in a different way. The "Sandbox" section of the game is designed to let your child explore and experiment with the Nooms. It's also the perfect tool for parents and teachers to explain basic math concepts to kids. In the "Puzzle" section, your child will use basic math to create their own puzzle pieces, and place them in the right spot to reveal a hidden picture. Every move your child makes reinforces number sense. Your child will perform thousands of operations while solving the 250 puzzles. In the "Ladder" section, your child will have to think strategically to build larger numbers. Your child will develop an intuitive understanding of how larger numbers relate to small numbers, and practice basic math strategies every step of the way. In the "Run" section, your child will have to direct the Noom down a path using quick mental calculations. Your child can use their fingers, Nooms, or numerals to jump over obstacles. This activity reinforces your child's number sense and trains their ability to quickly recognize and add numbers. Kahoot! Numbers by DragonBox is based on the same pedagogical principles as the other games in the award-winning DragonBox series and works by integrating the learning seamlessly into the gameplay, with no quizzes or mindless repetitions. Every interaction in Kahoot! Numbers by DragonBox is designed to heighten your child’s understanding of numbers and strengthen his or her love of math, giving your child a great foundation for future math learning. Terms and Conditions: https://kahoot.com/terms-and-conditions/ Privacy Policy https://kahoot.com/privacy-policy/