Define non-singular matrix.
Understand the Problem
The question is asking for the definition of a non-singular matrix, which is a matrix that has an inverse. A non-singular matrix is defined as one whose determinant is not zero, indicating that it can be used in solving linear equations.
Answer
A non-singular matrix has a non-zero determinant and an inverse.
A non-singular matrix is a square matrix whose determinant is a non-zero value and has an inverse.
Answer for screen readers
A non-singular matrix is a square matrix whose determinant is a non-zero value and has an inverse.
More Information
A non-singular matrix is also known as an invertible or regular matrix. It plays a critical role in solving system of linear equations.
Tips
A common mistake is to confuse a non-singular matrix with a singular matrix; remember, the key difference is whether the determinant is non-zero.
Sources
- Non Singular Matrix - Formula, Definition, Properties, Examples - cuemath.com
- Nonsingular Matrix -- from Wolfram MathWorld - mathworld.wolfram.com
- Non Singular Matrix - Definition, Formula, Properties and Examples - geeksforgeeks.org
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