If A= [ array ccc 1 & 0 & 0 0 & 1 & 1 0 & -2 & 4 array ] , 6 A –1 = A 2 + c A + d I …
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
\[\text { If } A=\left[\begin{array}{ccc}
1 & 0 & 0 \\
0 & 1 & 1 \\
0 & -2 & 4
\end{array}\right]\], 6 A–1 = A2 + c A + d I, then (c, d) is
- (–11, 6)
- (–6, 11)
- (6, 11)
- (11, 6)
Answer
(B) (–6, 11)
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let M be a 3 × 3 invertible matrix with real entries and let I denote the 3 × 3 identity matrix. If M −1 =…
- If the system of equations x + ay = 0, az + y = 0 and ax + z = 0 has infinitely many solutions, then the…
- If f(x), g (x) and h (x) are three polynomials of degree 2, then φ (x) = | array ccc f(x) & g(x) & h(x) f^…
- 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 P is a 3 × 3 matrix such that P T = 2 P + I , where P T is the transpose of P and I is the 3 × 3 identity…
- Assertion : | array lll a ^ 2 + X ^ 2 & b - z & a + k b + I & b ^ 2 + X ^ 2 & b - x a - k & b + x & c ^ 2 + X…
- If A = [ array cc 4 & x+2 2 x-3 & x+1 array ] is symmetric, then x =
- Which of the following values of α satisfy the equation | array ccc (1+ )^ 2 & (1+2 )^ 2 & (1+3 )^ 2 (2+ )^ 2…
More Matrices and Determinants questions · Browse all practice questions