0 votes 0 votes Two matrices A and B are given below: A= p q r s B= p2 + q2 pr + qs pr +qs r2 + s2 If the rank of matrix A is N, then the rank of matrix B is (A) N /2 (B) N-1 (C) N (D) 2 N Ashwashil Lanjewar asked Aug 10, 2018 Ashwashil Lanjewar 2.2k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
7 votes 7 votes MAtrix B is the product of A and AT(transpose of A). RANK(AAT) =RANK(A) so RANK(B)= N = answer?(c). for reference to theorem follow the link : https://math.stackexchange.com/questions/215145/rank-of-product-of-a-matrix-and-its-transpose arvin answered Aug 10, 2018 arvin comment Share Follow See all 0 reply Please log in or register to add a comment.