Question

If the rank of a matrix A is 3, then the rank of A is
O
1
1/3
O
3​

Answer 1

Since the rank of the matrix A is 3, so the rank of A is 3

Answer 2

Answer:

The rank of matrix A is 3 .

Step-by-step explanation:

The maximum number of its linearly independent column or row of a given matrix is called rank of a matrix .

Suppose we have a matrix (A)  of order 3×3, the rank of matrix  A is 3.

Condition

• The rank of a matrix (A) is 3 , if and only if A is non-singular that is nothing but the |A| ≠ 0.
• The rank of a matrix (A) is 2 ,if A is singular and atleat one of its submatrix is non-singular(|A|≠0).
• The rank of a matrix is 1 , if and only if A is singular.