Square Matrices - Concept

Concept Concept (1)

When we are learning about matrices and matrix operations, one of the first things we need to learn about are square matrices. Square matrices have many applications in the real world. Square matrices can be used to represent and solve systems of equations, can be invertible and have determinants. The determinants of square matrices can be used to find areas and orthogonal vectors.

Sample Sample Problems (3)

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Square Matrices - Problem 1
Problem 1
How to demonstrate that matrix multiplication is not commutative.
Square Matrices - Problem 2
Problem 2
How to interpret 2x2 matrices as transformations.
Square Matrices - Problem 3
Problem 3
How to show that two matrices are inverses (in the sense of matrix multiplication).