Let A=bmatrix2 & 2 & 2 \\ 0 & 2 & 2 \\ 0 & 0 & 2bmatrix, then A^6 is equal to: Option 1: bmatrix1 & 6 & 21 \\ 0 & 1 & 6 \\ 0 & 0 & 1bmatrix Option 2: 2^6bmatrix1 & 6 & 21 \\ 0 & 1 & 6 \\ 0 & 0 & 1bmatrix Option 3: bmatrix1 & 4 & 12 \\ 0 & 1 & 4 \\ 0 & 0 & 1bmatrix Option 4: 2^4bmatrix1 & 4 & 12 \\ 0 & 1 & 4 \\ 0 & 0 & 1bmatrix

The answer is '2^6bmatrix1 & 6 & 21 \\ 0 & 1 & 6 \\ 0 & 0 & 1bmatrix'. View full solution:

CUET Mathematics - Let A=bmatrix2 & 2 & 2 \\ 0 & 2 & 2 \\ 0 & 0 & 2bmatrix, then A^6 is equal to: | PYQs + Solutions

CUET Mathematics 2026 29th May Shift 1

Algebra

Hard

core

$\begin{bmatrix}1 & 6 & 21 \\ 0 & 1 & 6 \\ 0 & 0 & 1\end{bmatrix}$

$2^6\begin{bmatrix}1 & 6 & 21 \\ 0 & 1 & 6 \\ 0 & 0 & 1\end{bmatrix}$

$\begin{bmatrix}1 & 4 & 12 \\ 0 & 1 & 4 \\ 0 & 0 & 1\end{bmatrix}$

$2^4\begin{bmatrix}1 & 4 & 12 \\ 0 & 1 & 4 \\ 0 & 0 & 1\end{bmatrix}$

✅ Correct Option: 2