3.1 Algebraic computation of matrices3.1.1 Transposing, flipping and rotating matrices3.1.2 Arithmetic operations3.1.3 Complex matrices and transformations3.1.4 Powers and roots of matrices3.1.5 Dot operations3.2 Logic and comparison operations3.2.1 Logic operations with matrices3.2.2 Comparisons of matrices3.2.3 Searching commands in matrix elements3.2.4 Attribute judgement3.3 Computation of transcendental functions3.3.1 Exponentials and logarithmic functions3.3.2 Trigonometric functions3.3.3 Inverse trigonometric functions3.3.4 Transcendental functions of matrices3.4 Simplifications and conversions of symbolic expressions3.4.1 Polynomial operations3.4.2 Conversions and simplifications of trigonometric functions3.4.3 Simplification of symbolic expressions3.4.4 Variable substitution of symbolic expressions3.4.5 Conversions of symbolic expressions3.5 Fundamental computations with data3.5.1 Integer rounding and rationalization of data3.5.2 Sorting and finding maximum and minimum of vectors3.5.3 Mean, variance and standard deviation3.5.4 Prime factors and polynomials3.5.5 Permutations and combinations3.6 Problems