DeterminantHard
Question
Which relation true for A = 
, B =
, B =Options
A.(A + B)2 = A2 + 2AB + B2
B.(A - B)2 = A2 - 2AB + B2
C.AB = BA
D.None of these
Solution
(A) (A + B)2 = (A + B) (A + B) = A2 + BA + AB + B2
(B) (A - B)2 = (A - B) (A - B) = A2 - BA - AB + B2
(C) AB ≠ BA
Hence none of these.
(B) (A - B)2 = (A - B) (A - B) = A2 - BA - AB + B2
(C) AB ≠ BA
Hence none of these.
Create a free account to view solution
View Solution FreeMore Determinant Questions
The value of θ lying between and 0 ≤ A ≤ and satisfying the equation = 0 are -...If = (x - y) (y - z) (z - x) , then:...The determinant is equal to -...Let P and Q be 3 × 3 matrices with P ≠ Q.If P3 = Q3 and P2Q = Q2P, then determinant of(P2 + Q2) is equal to :...If x is a positive integers then the value of determinant is -...