solve matrix equation calculator 2x2


  • How to invert a 2x2 matrix and use it to solve a linear system?

    To find the inverse of a 2x2 matrix: swap the positions of a and d, put negatives in front of b and c, and divide everything by the determinant (ad-bc).
  • Arrange the elements of equations in matrices and find the coefficient matrix, variable matrix, and constant matrix. Write the equations in AX = B form. Take the inverse of A by finding the adjoint and determinant of A. Multiply the inverse of A to matrix B, thereby finding the value of variable matrix X.
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