Home › JEE Advanced › Mathematics › Matrices and Determinants › If A is 3×3 with |A| = -2, then |adj(A)| =
If A is 3×3 with |A| = -2, then |adj(A)| =
A-4
B-2
C4 (= |A|^(n-1) = (-2)²)
D1
Answer & Solution
Correct answer: C. 4 (= |A|^(n-1) = (-2)²)
|adj(A)| = |A|^(n-1) for n×n matrix. For 3×3: |adj(A)| = |A|² = (-2)² = 4.
Related questions
The topic that classifies row, column and square matrices is about the:Symmetric and skew symmetric matrices are both required to be:Every diagonal element of a skew symmetric matrix is:A square matrix whose transpose equals its negative is called:A square matrix equal to its own transpose is called:The properties of transpose are stated in the text:The transpose of matrix A is denoted by A with a prime or by A raised to:Interchanging the rows and columns of a matrix gives its: