TS EAMCET · Maths · Matrices
A is a \(m \times n\) matrix of rank 4 . If A contains an \(m\) th order non singular sub matrix and \(A^T A\) is a \(7 \times 7\) matrix, then the number of rows of \(A\) is
- A 5
- B 6
- C 7
- D 4
Answer & Solution
Correct Answer
(D) 4
Step-by-step Solution
Detailed explanation
Given, \(A\) is \(m \times n\) matrix of rank 4 \(A\) contains \(m\) th order of non-singular sub matrix. \(A\) is non-singular matrix \(\therefore A\) is a square matrix of order \(M\) \(\therefore\) Rank of \(A\) is \(M\) \(\therefore\) order of \(A=4\) [rank of \(A=4\) ]…
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