If A = [[1, 2], [3, 4]], then A − A' is a: A. Skew-symmetric matrix B. Symmetric matrix C. Diagonal matrix D. Identity matrix Answer: A) Skew-symmetric matrix Explanation: A' = [[1, 3], [2, 4]]. A − A' = [[0, −1], [1, 0]]. Since (A − A')' = [[0, 1], [−1, 0]] = −(A − A'), it is skew-symmetric.

imo class 12 matrices

If A = [[1, 2], [3, 4]], then A − A' is a:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If A = [[1, 2], [3, 4]], then A − A' is a:

Answer: A) Skew-symmetric matrix

Explanation: A' = [[1, 3], [2, 4]]. A − A' = [[0, −1], [1, 0]]. Since (A − A')' = [[0, 1], [−1, 0]] = −(A − A'), it is skew-symmetric.