DeterminantHard

Question

If A and B are two square matrices such that B = - A-1 BA, then (A + B)2 =

Options

A.0
B.A2 + B2
C.A2 + 2AB + B2
D.A + B

Solution

B = - A-1 BA
AB = -AA-1 BA
AB = - BA
AB + BA = 0
(A + B)2 = A2 + B2

Create a free account to view solution

View Solution Free
Topic: Determinant·Practice all Determinant questions

More Determinant Questions

For any ᐃABC, the value of determinant is -...Let f(x) = , then...If x is real number such that = 0 then α, β, γ, are in...If = ax3 + bx, then -...If a, b & c are non-zero real numbers, then D = =...