Let A = [ 0 1 0 1 0 0 0 0 1 ]. Then the number of 3 × 3 matrices B with entries from the set 1, 2, 3, 4, 5 and satisfying AB = BA is _ _ _ _ _ _.

Matrices and Determinants: JEE Main 2021 Mathematics question

JEE Main 2021 · 22 Jul, Evening shift · Q41

JEE Main 202122 Jul, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

Let

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

. Then the number of 3

\times

3 matrices B with entries from the set {1, 2, 3, 4, 5} and satisfying AB = BA is ____________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 · 22 Jul, Evening shift · Q41

JEE Main 202122 Jul, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

Let

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

. Then the number of 3

\times

3 matrices B with entries from the set {1, 2, 3, 4, 5} and satisfying AB = BA is ____________.

Your answerType your answer. Integers and decimals are accepted.