Analytic Geometry

Virginia SOL MA.AG.5

Use matrices to organize data and perform operations to solve systems of equations.

What students need to be able to do

  • Multiply matrices by a scalar.
  • Add matrices.
  • Subtract matrices.
  • Multiply matrices.
  • Represent problems with a system of no more than three linear equations.
  • Express a system of linear equations as a matrix equation.
  • Solve a system of equations using matrices.
  • Determine the inverse of a two-by-two or three-by-three matrix using paper and pencil.
  • Verify two matrices are inverses using matrix multiplication.
  • Verify the commutative property for matrix addition.
  • Verify the associative property for matrix addition.
  • Verify the commutative property for matrix multiplication.
  • Verify the associative property for matrix multiplication.