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IB HL - Matrices
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Definition of a matrix
  • Column, row, order, element.
  • Simple everyday uses of metrics.
 
Algebra of matrices
  • Addition and subtraction of matrices.
  • Multiplying by a scalar.
  • Multiplication of 2x2 matrices.
  • Multiplication of 3x3 matrices.
  • The identity matrix.
  • The zero matrix.
 
Determinants and inverses
  • Determinant of a 2x2 matrix.
  • The inverse of a 2x2 matrix.
  • Determinant of a 3x3 matrix.
  • The inverse of a 3x3 matrix.
  • Conditions for an inverse matrix to exist.
 
Solutions of 3 unknowns
  • Using simultaneous equations in matrices to find 2 unknowns.
  • Using simultaneous equations in matrices to find 3 unknowns.
 
Conditions for solutions
  • Finding the condition to find unique, no solutions, or an infinity of solutions.