Home Maths Matrices and Determinants JEE (Main) / AIEEE Problems ( Previous Year ) Statement - 1 : Determinant of a skew-symmet…
Maths Matrices and Determinants JEE (Main) / AIEEE Problems ( Previous Year ) Single Correct MCQ
Published on: August 13, 2026

Statement - 1 : Determinant of a skew-symmetric matrix of order 3 is zero.

Statement - 2 : For any matrix A, det

A
T = det(a) and det (–A) = – det(a). Where det Both statements are true
B
denotes the determinant of matrix B. Then : Both statements are false
C
Statement-1 is false and statement-2 is true.
D
Statement-1 is true and statement-2 is false

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
D

Statement-1 : Determinant of a skew sysmmetric matrix of odd order is zero

Statement-2 : det (A T ) = det(a)

det(–A) = (– 1) n det where A is a n × n order matrix

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

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.

Student Reviews

What students say about this solution

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

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.