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  2. 12th grade
  3. Algebra II
  4. Exercise : Determine if a 2x2 matrix is invertible and find its inverse if it exists

Determine if a 2x2 matrix is invertible and find its inverse if it exists Algebra II

Determine whether or not the following matrixes are invertible, and find their inverse if it exists.

A=\begin{pmatrix} 8 & 3 \cr\cr 4 & 2 \end{pmatrix}

A = \begin {pmatrix} 4 & 8 \cr \cr 1 & 2 \end {pmatrix}

A = \begin {pmatrix} 2 & 1 \cr \cr 3 & 2 \end {pmatrix}

A = \begin {pmatrix} 4 & -6 \cr \cr -2 & 3 \end {pmatrix}

A = \begin {pmatrix} 1& 2 \cr \cr -3 & -4 \end {pmatrix}

A = \begin {pmatrix} 2 & 3 \cr \cr 3 & 5 \end {pmatrix}

A=\begin{pmatrix} 8 & 2 \cr\cr 12 & 3 \end{pmatrix}

See also
  • Course : Matrices: invertibility and matrix equations
  • Exercise : Convert a system of equations into an augmented matrix
  • Exercise : Solve a system of linear equations using augmented matrix
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