Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: For matrix , rank of A = r(A) = 1. Reason R: For matrix A if , then it implies that rank of matrix A given by r(A) is less than full rank. In the light of the above statements, choose the most appropriate answer from the options given below:
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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: For matrix A = [1 2; 8 16], rank of A = r(A) = 1. Reason R: For matrix A if |A| = 0, then it implies that rank of matrix A given by r(A) is less than full rank. In the light of the above statements, choose the most appropriate answer from the options given below: (A) Both A and R are correct and R is the correct explanation of A (B) Both A and R are correct but R is NOT the correct explanation of A (C) A is correct but R is not correct (D) A is not correct but R is correct
Matrices, determinants and linear systems has come up 102 times in 7 exams since 2006.
This question is on Consistency, rank and solution spaces, part of Matrices, determinants and linear systems in Mathematics.
Whether a system has no solution, one or many, and the shape of its solution set.
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Question from the CUET-PG 2023 Shift 2 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.