Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If A =
(where bc ≠ 0) satisfies the equations x 2 + k = 0, then
Text Solution
Verified by ExpertsThe correct answer is:
A
A =
bc ≠ 0
Characteristic equation is
= 0
= 0)
= 0 (a – x) (d – x) – bc = 0
x 2 – x (a + d) + ad – bc = 0
On comparing with the given equation x 2 + k = 0
a + d = 0, k = ad – bc = 
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
For the matrix A = find a & b so that A 2 + aA + b Ι = 0. Hence find A –1 .
Find the total number of possible square matrix A of order 3 with all real entries, whose adjoint m…
If A = , show that A 3 = (5A – Ι ) (A – Ι )
Apply Cramer's rule to solve the following simultaneous equations.
(i) 2 x + y + 6 z = 46
5 x − 6 y…
Solve using Cramer’s rule: = − 1 & = − 5.
Find those values of c for which the equations:
2 x + 3 y = 3
(c + 2) x + (c + 4) y = c + 6
(c + 2)…