JEE Main Maths · Matrices

Binomial Expansion for Non-Commuting Matrices

Binomial Expansion for Non-Commuting Matrices (Matrices) was asked once in the 42 JEE Main shifts Lumi analysed, in 2022. 1 of the 1 had a numerical answer.

Times asked: 1; in 1 shift
Years: 2022
Usual format: Numerical value; Calculation
Pattern: Occasional; asked once so far

How it is asked

Unknown parameter from matrix equation

Difficulty

Easy 0Medium 1Hard 0

Where it sits

Chapter: Matrices. Topic: Matrix Multiplication, 19 questions over 11 ideas.

The question

Newest first, each with its options and official answer.

28 Jul 2022, Shift 1 · Q25Let $A=\begin{bmatrix}1&-1\\2&\alpha\end{bmatrix}$ and $B=\begin{bmatrix}\beta&1\\1&0\end{bmatrix},\ \alpha,\beta\in\mathbf{R}$ . Let…MediumNumerical value