The Inverse of a Square Matrix - Concept

Concept Concept (1)

We use the identity matrix to calculate a square matrix inverse. In order to be invertible, a matrix must be square, and by finding the square matrix inverse, we can find the solution of a system of linear equations. A square matrix inverse, when multiplied on the left or right by the original matrix gives us the identity matrix.

Sample Sample Problems (3)

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The Inverse of a Square Matrix - Problem 1
Problem 1
How to find the inverse of a square matrix of order 2 using row operations.
The Inverse of a Square Matrix - Problem 2
Problem 2
How to determine that a matrix has no inverse using row operations.
The Inverse of a Square Matrix - Problem 3
Problem 3
How to find the inverse of a square matrix of order 3 using row operations.