Consider the following statements in respect of square matrices A, B, C each of same order n : 1. A B=A C \Rightarrow B=C if A is nonsingular 2. If B X=C X for every column matrix X having n rows then B=C Which of the statements given above is/are correct? [NDA I 2023]

UPSC NDA I 2023 Mathematics Solved Paper

Question : 7 of 120

Marks: +1, -0

Consider the following statements in respect of square matrices A,B,C each of same order n :
1. AB=AC⇒B=C if A is nonsingular
2. If BX=CX for every column matrix X having n rows then B=C
Which of the statements given above is/are correct?

[NDA I 2023]

1 only
2 only
Both 1 and 2
Neither 1 nor 2

Validate

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