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Question 72Asked in DSSSB TGT Computer Science (Technical), 12 Sep 2025, Shift 1 (9:00 AM)

The characteristic equation of matrix A = [ 1 4 ]

The characteristic equation of matrix A = [ 1 4 ] [ 3 5 ] is __________.
  1. Aλ² + 6λ − 7 = 0
  2. Bλ² − 6λ + 7 = 0
  3. Cλ² − 6λ − 7 = 0
  4. Dλ² + 6λ + 7 = 0
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Correct answer: (C) λ² − 6λ − 7 = 0

Explanation

For a 2x2 matrix the characteristic equation is λ² - (trace)λ + det = 0. Trace = 1 + 5 = 6 and det = 5 - 12 = -7, so λ² - 6λ - 7 = 0.

From DSSSB TGT Computer Science PYQ (Technical), 12 Sep 2025, Shift 1 (9:00 AM)

This is question 72 of DSSSB TGT Computer Science PYQ (Technical), 12 Sep 2025, Shift 1 (9:00 AM). 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.