Zaymiey

📐 Mathematics  ·  Matrices  ·  JEE

A square matrix A is called singular if:

Answer: det(A) = 0.

  • A det(A) = 1
  • B det(A) = 0
  • C A = A<sup>T</sup>
  • D A has all positive elements

Correct answer: B. det(A) = 0

Explanation: A singular matrix has determinant equal to zero and does not have an inverse.

Matrix A (3 rows x 3 columns)a11a12a13a21a22a23a31a32a33column 1column 2column 3row 1row 2row 3

Element aij of matrix A sits at the intersection of row i and column j.

Concept context

Matrix operations, determinants, inverses, and solving linear systems

Read the full Matrices notes →