If E(θ) = [ array cc ^ 2 & & ^ 2 array ] and θ and φ differ by an odd multiple of π/2…
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
If E(θ) = \(\left[\begin{array}{cc}
\cos ^{2} \theta & \cos \theta \sin \theta \\
\cos \theta \sin \theta & \sin ^{2} \theta
\end{array}\right]\) and θ and φ differ by an odd multiple of π/2, then E(θ). E(φ) is a
- Null matrix
- Unit matrix
- Diagonal matrix
- none of these.
Answer
(A) Null matrix
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let A, B and C be 2 × 2 matrices with entries from the set of real numbers. Define * as follows : A ^ * ~B =…
- If A= [ array cc & 0 1 & 1 array ] and B= [ array ll 1 & 0 5 & 1 array ], then value of α for which A 2 = B …
- if U 1 , U 2 and U 3 are columns matrices satisfying and U is 3 × 3 matrix when columns are U 1 , U 2 , U 3…
- If a 2 + b 2 + c 2 = –2 and f (x) = Then f (x) is a polynomial of degree :
- Let ∆ = 0 and ∆ c denotes the determinant of cofactors, then ∆ c = ∆ n – 1 , where n (> 0) is the order of ∆…
- Suppose X = ( array ll a & ~b c & ~d array ) satisfies the equation X 2 – 4X + 3I = O. Assertion : If a + d ≠…
- Consider the system of equations x – 2 y + 3 z = – 1, – x + y – 2 z = k, x – 3 y + 4 z = 1 . Statement-1 …
- Let ∆ = 0 and ∆ c denotes the determinant of cofactors, then ∆ c = ∆ n – 1 , where n (> 0) is the order of ∆…
More Matrices and Determinants questions · Browse all practice questions