DeterminantHard

Question

Let A and B be two 2 × 2 matrix with real entries. If AB = O and tr(A) = tr(B) = 0 then

Options

A.A and B are comutative w.r.t. operation of multiplication.
B.A and B are not commutative w.r.t. operation of multiplication.
C.A and B are both null matrices.
D.BA = 0

Solution

Let A = and B =
⇒  AB =
⇒ a1a2 + b1c2 = a1b2 - b1a2 = c1a2 - a1c2 = c1b2 + a1a2 = 0
BA =

Create a free account to view solution

View Solution Free
Topic: Determinant·Practice all Determinant questions

More Determinant Questions

If X = , then value of Xn is, (where n is natural number)...=...For any ᐃABC, the value of determinant is -...If a, b, c are non zeros, then the system of equations (α + a) x + αy + αz = 0 αx + (α + b)y + ...If A-1 = , then...