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Exercises for AHL 1.15—Eigenvalues and eigenvectors - IB | RevisionDojo

SL 1.1—Using standard form

SL 1.2—Sequences and Sigma Notation

SL 1.3—Geometric Sequences

SL 1.4—Financial apps – compound interest, annual depreciation

SL 1.5—Exponents and Logarithms

SL 1.6—Approximating and estimating

SL 1.7—Loan repayments and amortization

SL 1.8—Use of technology to solve systems of linear equations and polynomial equations

AHL 1.9—Log laws

AHL 1.10—Expressions with non-integer exponents

AHL 1.11—Sum of infinite geometric sequences

AHL 1.12—Complex numbers introduction

AHL 1.13—Complex numbers continued

AHL 1.14—Introduction to matrices

AHL 1.15—Eigenvalues and eigenvectors

IB
AHL 1.15—Eigenvalues and eigenvectors

AHL 1.15—Eigenvalues and eigenvectors Exercises

SL 1.1—Using standard form

SL 1.2—Sequences and Sigma Notation

SL 1.3—Geometric Sequences

SL 1.4—Financial apps – compound interest, annual depreciation

SL 1.5—Exponents and Logarithms

SL 1.6—Approximating and estimating

SL 1.7—Loan repayments and amortization

SL 1.8—Use of technology to solve systems of linear equations and polynomial equations

AHL 1.9—Log laws

AHL 1.10—Expressions with non-integer exponents

AHL 1.11—Sum of infinite geometric sequences

AHL 1.12—Complex numbers introduction

AHL 1.13—Complex numbers continued

AHL 1.14—Introduction to matrices

AHL 1.15—Eigenvalues and eigenvectors

Concept explainer video

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Concept questions

Question Type 1: Finding the eigenvalues of a 2x2 matrix using the characteristic polynomial

Question Type 2: Finding the eigenvectors corresponding to eigenvalues of a 2x2 matrix

Question Type 3: Finding the diagonalization matrix of a 2x2 matrix using its eigenvalues and eigenvectors

Question Type 4: Rewriting 2x2 matrices using their diagonal matrix to calculate powers of a 2x2 matrix