NDA 2026 Mathematics question
Let , and be the square matrices of order 2 such that . Which of the statements given below is/are correct? I. and are not necessarily equal if is a singular matrix. II. and are equal if is a non-singular matrix. Select the answer using the code given below.
Answer: (C)
Solution
Statement II: if is non-singular, exists; pre-multiplying by gives . True. Statement I: if is singular, cancellation is not valid. For example, $A =
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