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Contents

LinearAlgebra

Mathematics - 12865 1

FunctionSummary

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1-2MatricesintheMATLAB
® Environment

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1-5 CreatingMatrices

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1-5 AddingandSubtractingMatrices

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1-7 VectorProductsandTranspose

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1-7 MultiplyingMatrices

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1-10 IdentityMatrix

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1-11 KroneckerTensorProduct

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1-12 VectorandMatrixNorms

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1-13SystemsofLinearEquations

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1-14 ComputationalConsiderations

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1-14 GeneralSolution

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1-16 SquareSystems

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1-16 OverdeterminedSystems

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1-19 UnderdeterminedSystems

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1-21InversesandDeterminants

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1-24 Introduction

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1-24 Pseudoinverses

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1-25Factorizations

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1-29 Introduction

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1-29 CholeskyFactorization

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1-29 LUFactorization

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1-31 QRFactorization

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1-32PowersandExponentials

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1-37 PositiveIntegerPowers

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1-37 InverseandFractionalPowers

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1-37 Element-by-ElementPowers

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1-38 Exponentials

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1-38

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