1. Tardigrade
  2. Question
  3. Mathematics
  4. Which of the following statements is/are correct? I. Adjoint of a unit matrix is a unit matrix. II. A( textadj A)=( textadi A) A=|A| I III. Adjoint of a symmetric matrix is symmetric. IV. Adjoint of a diagonal matrix is a diagonal matrix.

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Q. Which of the following statements is/are correct?
I. Adjoint of a unit matrix is a unit matrix.
II. $A(\text{adj} A)=(\text{adi} A) A=|A| I$
III. Adjoint of a symmetric matrix is symmetric.
IV. Adjoint of a diagonal matrix is a diagonal matrix.

ManipalManipal 2011

Solution:

All statements are correct.