Let A = [ 1 0 0 1 1 0 1 1 1 ] and B = A²⁰. Then the sum of the elements of the first column of B is:

Matrices and Determinants: JEE Main 2018 Mathematics question

JEE Main 2018 · 16 Apr, Morning shift · Q4489

JEE Main 201816 Apr, Morning shiftMathematicsHardMatrices and Determinants245× since 2002

Let A =

\left[ {\matrix{ 1 & 0 & 0 \cr 1 & 1 & 0 \cr 1 & 1 & 1 \cr } } \right]

and B = A²⁰. Then the sum of the elements of the first column of B is :

JEE Main 2018 · 16 Apr, Morning shift · Q4489

JEE Main 201816 Apr, Morning shiftMathematicsHardMatrices and Determinants245× since 2002

Let A =

\left[ {\matrix{ 1 & 0 & 0 \cr 1 & 1 & 0 \cr 1 & 1 & 1 \cr } } \right]

and B = A²⁰. Then the sum of the elements of the first column of B is :