Matrices and Determinants

JEE Main 2021 · 22 Jul, Evening shift · Q4502

MathematicsMedium244×since 2002Q4502

Let A = [a_ij] be a real matrix of order 3

\times

3, such that a_i1 + a_i2 + a_i3 = 1, for i = 1, 2, 3. Then, the sum of all the entries of the matrix A³ is equal to :

JEE Main 2021 · 22 Jul, Evening shift · Q4502

MathematicsMedium244×since 2002Q4502

Let A = [a_ij] be a real matrix of order 3

\times

3, such that a_i1 + a_i2 + a_i3 = 1, for i = 1, 2, 3. Then, the sum of all the entries of the matrix A³ is equal to :

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