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Question 70Asked in DSSSB TGT Computer Science (Technical), 12 Sep 2025, Shift 2 (1:00 PM)

Which of the following options is a Hermitian matrix?

  1. AA = [ 1 2+3i ] [ 2−3i 5 ]
  2. BA = [ 1 2+3i ] [ −2+3i −1 ]
  3. CA = [ 1 2+3i ] [ −2−3i 5 ]
  4. DA = [ 1 2+3i ] [ 2+3i 1 ]
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Correct answer: (A) A = [ 1 2+3i ] [ 2−3i 5 ]

Explanation

A Hermitian matrix equals its conjugate transpose: diagonal entries are real and a_ji is the conjugate of a_ij. In A the diagonal is 1 and 5 and the off-diagonal entries 2+3i and 2-3i are conjugates.

From DSSSB TGT Computer Science PYQ (Technical), 12 Sep 2025, Shift 2 (1:00 PM)

This is question 70 of DSSSB TGT Computer Science PYQ (Technical), 12 Sep 2025, Shift 2 (1:00 PM). See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.