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  • Matrix equations

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  • The matrix equation Ax=b has a solution if and only if b is a linear combination of the columns of A.
  • Example of solving a 3-by-3 homogeneous matrix equation
  • Definition of matrix equation
  • A matrix equation is equivalent to a linear system
  • Example of solving a 3-by-3 matrix equation
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  1. Example of solving a 3-by-3 matrix equation

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  • Example of solving a 3-by-3 homogeneous matrix equationClose match
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  • Example of solving a 3-by-3 homogeneous system of linear equations by row-reducing the augmented matrixClose match
  • Matrix equationsClose match
  • Definition of matrix equationClose match
  • The matrix equation Ax=b has a solution if and only if b is a linear combination of the columns of A.Close match
  • Example of finding the inverse of a 3-by-3 matrix by row reducing the augmented matrixClose match
  • A matrix equation is equivalent to a linear systemClose match
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  • A linear system is equivalent to a matrix equation.Close match
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  • Example of row reducing a 4-by-4 matrixClose match
  • Example of using the echelon form to determine if a linear system is consistent.Close match
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  • Example of putting a matrix in echelon formClose match
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