Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B2

Chapter

Algebra

Question:

For $I=\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$, if X and Y are square matrices of order 2 such that $X Y=X$ and $Y X=Y$, then $\left(Y^2+2 Y\right)$ equals to:

Options:

$2 Y$

$I+3 X$

$I+3 Y$

$3Y$

Correct Answer:

$3Y$

Explanation:

The correct answer is Option (4) → $3Y$