Solved The rank of the matrix A = [ 4 4 0 3 -2 3 -1 5 1 4 8 7 1 1 1 1 ]
Hii Dheeraj Dwivedi..
Rank of A is defined as the maximum of the orders of the non-singular square submatrices of A.
Example:
If A is a non-zero matrix of order 3, then the rank of A is
a) 3 if A is non-singular.
b) 2 if A is singular and there exist atleast one of it's 2*2 submatrices is non-singular.
c) 1 if A is singular and every 2*2 submatrix is singular.
Note: singular means determinant is zero.
As we have only 1 row in your question rank will be 1.
Hope this helps you. All the best.
Hello Dheeraj,
For finding of matrix you need to first know how many types of matrices are present in Matrix algebra
This is called a row matrix
A row matrix is a matrix which has only 1 row in it
This matrix contain 16 elements in it but its a 1×16 matrix for this matrix you get the rank is
Rank of (A)=1.
I hope you understand this all the best.
