If A is a 3×3 matrix with det(A) = 2, then det(2A):
A4
B8
C16
D32
Answer & Solution
Correct answer: C. 16
For n × n matrix: det(kA) = kⁿ × det(A).
Here n = 3, k = 2: det(2A) = 2³ × 2 = 16.
Keep practising Matrices
Browse all Matrices questions for AP Intermediate 2nd Year, or explore more Mathematics topics.
Related questions
The inverse of a 2x2 matrix [[a,b],[c,d]] is (when det ≠ 0):For A = [[2,0],[0,3]] (diagonal matrix), A² equals:If A = [[1,2],[3,4]], find det(A):The element a_23 of a matrix is located at:A square matrix A is symmetric if:The transpose of a 2x3 matrix is a:For a 3x3 identity matrix I, det(I) equals:A square matrix $A$ has an inverse $A^{-1}$ if and only if: