Problem of the week - Find the nonsingular matrix
November 28, 2018
This problem of the week is about the inverse of a square matrix, where you should need to know some basic properties and how to calculate it.
Inverse matrices are useful for a variety of fields, such as:
- Cryptography, to decrypt a message that was encrypted by using an invertible matrix.
- Image processing, where several transformations can be expressed as matrix multiplication, and to reverse those transformation, you just need multiply by the inverse.
- Solving consistent independent systems of linear equations.
Problem of the week - Find the idempotent matrix
November 21, 2018
Every Wednesday Nibcode Solutions will bring you a new Linear Algebra problem, which answer will be published on Tuesdays following week. Problems will cover the most important Linear Algebra topics, ranging from simple problems to some a little more complex, but all of them aimed to provide examples for you to understand the primary concepts and problem solving methods of Linear Algebra.
This problem of the week involves multiplication of matrices, which is considered the most important matrix operation, and although is not quite as straightforward as addition, the method is not difficult to grasp.
