What does rank of a matrix tell us about the solution
An interview question I think if I remember correctly
I have previously written about some other interview questions here:
The number of linearly independent rows or columns are indicated by the rank of a matrix. It also determines whether a linear system has unique, infinite or no solution. The information content or dimensionality of the solution space is also signified by the rank. A system is considered consistent (meaning it has at least one solution) if rank of augmented matrix and coefficient matrix is equal. A system has a unique solution if rank and number of variables are equal given that the system is consistent. A system has infinite solutions if rank is less than the number of variables. A system has no solution and becomes inconsistent if rank of coefficient matrix is less than augmented matrix.
Get Talha Hanif Butt’s stories in your inbox
Join Medium for free to get updates from this writer.
That’s it for now. See you later.
References
https://fiveable.me/intermediate-algebra/key-terms/rank-matrix
