# Matrix power. The internal assessment will focused on observing patterns of matrix powers which will be the main key to find the general expression of matrix powers.

Internal Assessment- Matrix Powers

The internal assessment will focused on observing patterns of matrix powers which will be the main key to find the general expression of matrix powers.

1)

Explanation: When matrix M is powered by 2 it gives a result offrom GDC, when M is powered by 3 it gives a result of from GDC and when M is powered by 4 it gives a result of from GDC. The pattern shown is that every time M is powered by a number after its preceding number it is multiply by 2. For instance, 4 shown in matrix, 8 shown in matrix, and 16 shown in matrix . Thus, these results make a general expression that. This formula is proven correct because when from GDC and this formula also works whenfrom GDC.

2)

Explanation: When matrix P is powered by 3 it gives a result of , when matrix P is powered by 4 it gives a result of, and when matrix P is powered by 5 it gives a result of . The pattern shown is that results have a common factor of such as 4 shown in matrix, 8 shown in matrix, and then16 shown in matrix. Once the resulting matrix is factor out, the left over numbers inside the matrix has a general pattern of either  such as 9 ...