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IB Mathematics SL Portfolio Type I Matrix Powers Done by: Bassam Al-Nawaiseh IB II * Introduction: Matrices are rectangular tables of numbers or any algebraic quantities that can be added or multiplied in a specific arrangement. A matrix is a block of numbers that consists of columns and rows used to represent raw data, store information and to perform certain mathematical operations. The aim of this portfolio is to find general formulas for matrices in the form . of Each set of matrices will have a trend in which a general formula for each example is deduced. * Method 1: Consider the matrix M = when k = 1. Table 1: Represents the trend in matrix M = as n is changed in each trial. Power Matrix n = 1 n = 2 n = 3 n = 4 n = 5 n = 10 n = 20 Matrix M is a 2 x 2 square matrix which have an identity. As n changes...

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