MatricesHard
Question
If A and B are square matrices of order 5 such that A2 + B4 = (AT)2, then det(B) is (where AT is transpose of matrix A) -
Options
A.0
B.1
C.2
D.0 or 1
Solution
A2 + B4 = (AT)2
(AT)2 + (BT)4 = A2
B4 = - (BT)4
|B|4 = |-B4|
|B|4 = -|B|4
|B| = 0
(AT)2 + (BT)4 = A2
B4 = - (BT)4
|B|4 = |-B4|
|B|4 = -|B|4
|B| = 0
Create a free account to view solution
View Solution FreeMore Matrices Questions
If A is a square matrix, then A − A′ is -...If A is any skew- symmetric matrix of odd orders, then |A| equals -...If A = , then |A +AT| equals -...A 2 × 2 matrix is chosen from set of all matrices with elements 0,1 or -1 only. If A : the event that selected matr...If A + B = and A − B = then the value of A is -...