Consider the following in respect of the matrix A= bmatrix 1 & 1 & 1 1 & 1 & 1 1 & 1 & 1 bmatrix 1. Inverse of A does not exist 2. A^3=A 3. 3A=A^2 Which of the above are correct?

NDA 2021 Mathematics question

Consider the following in respect of the matrix

1. Inverse of does not exist 2. 3. Which of the above are correct?

Answer: (C)

Statement 1: all rows of are identical, so ; is singular and its inverse does not exist. Correct. Statement 3: each entry of is

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Question ID VK-033661