Let A = , B = [a b c] and C = Where a, b, c and x ∈ R, Gi…

Maths Matrices and Determinants Matrix, Algebra of Matrix, Transpose, symmetric and Skew Symmetric Matrix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Let A = , B = [a b c] and C =

Where a, b, c and x ∈ R, Given that tr (AB) = tr(c), then the value of (a + b + c).

Text Solution

Verified by Experts

The correct answer is:

AB =

Now tr (AB) = tr ⇒ 3ax 2 + b + 6cx = (x + 2) 2 + 2x + 5x 2

3ax 2 + 6c + b = 6x 2 + 6x + 4 ⇒ a = 2, b = 4, c = 1 ⇒ a + b + c = 7.

──────────────────────────────────────────────────────────────────────────────────────────

Previous Question Next Question

Get practice questions, solutions, and test series in one place.

Share your experience with this question and solution.

Send your comment, doubt, correction, or feedback to admin.

What students say about this solution

No reviews yet. Be the first to write a review.