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Solved The rank of the matrix A = [ 4 4 0 3 -2 3 -1 5 1 4 8 7 1 1 1 1 ]


Dheeraj Dwivedi 11th Dec, 2018
Answers (2)
Sai 20th Dec, 2018

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.

Mohammed Inamul 20th Dec, 2018

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.

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