Question 80Asked in DSSSB TGT Computer Science (Technical), 13 Sep 2025, Shift 3 (5:00 PM)

If [ 1 ]

If [ 1 ] [ 1 ] [ 0 ] is an eigenvector of the matrix [ 3 −1 1 ] [ 7 −5 1 ] [ 6 −6 2 ] then the eigenvalue is ________.
  1. A−4
  2. B2
  3. C1
  4. D4
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Correct answer: (B) 2

Explanation

Matrix × (1, 1, 0) = (3 − 1, 7 − 5, 6 − 6) = (2, 2, 0) = 2 × (1, 1, 0), so the eigenvalue is 2.

From DSSSB TGT Computer Science PYQ (Technical), 13 Sep 2025, Shift 3 (5:00 PM)

This is question 80 of DSSSB TGT Computer Science PYQ (Technical), 13 Sep 2025, Shift 3 (5:00 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.