DeterminantHard

Question

If A and B are square matrices of order 2, then (A + B)2 =

Options

A.A2 + 2 AB + B2
B.A2 + AB + BA + B2
C.A2 + 2 BA + B2
D.None of these

Solution

(A + B)2 = (A + B) . (A + B) = A2 + BA + AB + B2 (in general AB ≠ BA).

Create a free account to view solution

View Solution Free
Topic: Determinant·Practice all Determinant questions

More Determinant Questions

The values λ and m for which the system of equations x + y + z = 6, x + 2y + 3z = 10 and x + 2y + λz = μ ...Which of the following determinant(s) vanish(es)?...Which one of the following is wrong ?...Identify the correct statement(s)...If A, B are two n × n non-singular matrices, then...