[ array cc 1 & - / 2 / 2 & 1 array ] [ array cc 1 & / 2 - / 2 & 1 array ]^ -1 is equal to

Mathematics · JEE Main · NTA Exams — Matrices and Determinants

1. \(\left[\begin{array}{cc} \sin \theta & -\cos \theta \\ \cos \theta & \sin \theta \end{array}\right]\)
2. \(\left[\begin{array}{cc} \cos \theta & \sin \theta \\ -\sin \theta & \cos \theta \end{array}\right]\)
3. \(\left[\begin{array}{cc} \cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{array}\right]\)
4. none of these

Answer

(C) [ array cc & - & array ]

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

• If A is an 3 3 non-singular matrix such that A^ =A^ A and B=A^ -1 A^ , then BB' equals :
• The rank of matrix, A= [ array rrrr 3 & 3 & -1 & -1 1 & -1 & -2 & -4 3 & 1 & 3 & -2 6 & 3 & 0 & -7 array ] is…
• Let A be a 2 2 matrix Statement - 1: adj (adj A) = A Statement - 2: |adj A| = |A|
• Given below are two statements. STATEMENT - 1: If b c+q r=c a+r p=a b+p q=-1 then | array ccc a p & a & p b q…
• Inverse matrix of [ array cc 2 & -3 -4 & 2 array ] is -
• The system of equations kx + y + z = 1 x + ky + z = k x + y + kz = k 2 has no solution if k equals
• If A = [ array cc 2 & 3 5 & -2 array ], then 19 A –1 is equal to
• If the system of equations 2 x+3 y-z=0, x+k y-2 z=0 and z x-y+z=0 has a non-trivial solution (x, y, z) then x…

More Matrices and Determinants questions · Browse all practice questions