QuestionLet $$M=\left[\begin{array}{cc} 10 & 10 \\ -5 & -5 \end{array}\right]$$
Find formulas for the entries of $M^{n}$, where $n$ is a positive integer. Submit answer Next item

Studdy Solution
Derive formulas for the entries of $M^n$:
The entries of $M^n$ are given by:
$$M^n = \begin{bmatrix} -2 \cdot 5^n & -2 \cdot 5^n \\ 5^n & 5^n \end{bmatrix}$$
Thus, the formulas for the entries of $M^n$ are:
- Top left: $-2 \cdot 5^n$ - Top right: $-2 \cdot 5^n$ - Bottom left: $5^n$ - Bottom right: $5^n$