Let D r = | array ccc a & 2^ r & 2^ 16 -1 b & 3 (4^ r ) & 2 (4^ 16 -1 ) c & 7 (8^ r ) & 4…
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
Let Dr = \[\left|\begin{array}{ccc}
a & 2^{r} & 2^{16}-1 \\
b & 3\left(4^{r}\right) & 2\left(4^{16}-1\right) \\
c & 7\left(8^{r}\right) & 4\left(8^{16}-1\right)
\end{array}\right|\], then the value of \(\sum_{k=1}^{6} D_{k}\) is
- 0
- a + b + c
- ab + bc + ca
- none of these
Answer
(A) 0
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If x N and ^ x C _ i , ^ x ^ 2 C _ i and x^ 3 C_ i , (i = 1, 2, 3) are binomial coefficients, then 12 | array…
- 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 > b > c and the system of equations ax + by + cz = 0, bx + cy + az = 0, cx + ay + bz = 0 has a non…
- The number of 3 × 3 matrices A whose entries are either 0 or 1 and for which the system A [ array l x y z…
- If A and B are square matrices of equal degree, then which one is correct among the following ?
- If and | A 3 |= 125, then the value of α is
- If the system of equations x + ay = 0, az + y = 0 and ax + z = 0 has infinitely many solutions, then the…
- If | array ccc x^ 2 +x & x+1 & x-2 2 x^ 2 +3 x-1 & 3 x & 3 x-3 x^ 2 +2 x+3 & 2 x-1 & 2 x-1 array | = Ax + B…
More Matrices and Determinants questions · Browse all practice questions