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Linear Equation Matrix Inverse

We can solve system of linear equations with the help of inverse of a matrix. This method is known as Matrix Inverse Method. The solution of the equations is given by the following method:

Where

**Step I:**Write down the equations in the form of a single matrix equation**AX = B (1)**Where

**A**= co-efficient matrix,**B**= constant matrix and**X**= variable matrix.**Step II:**Find**| A |**.**Step III: (a)**If**| A | = 0**, then the system of equations has either no solution or have an infinite number of solutions.**(b)**If**| A | ≠ 0**, then the system of equation has a non-zero solution. In that case calculate**A**^{-1}.**Step IV:**Pre-multiplying both sides of the equation**(i)**by**A**^{-1}, so that we have**A**^{-1}AX = A^{-1}B**IX = A**^{-1}B or X = A^{-1}B**Step V:**Equate the two matrices and then we shall get the values of the variables**x, y, z, …**of the variable matrix.**Note:**A rigorous solution of linear equations is possible by means of rank of a matrix.**Services: -**Linear Equation Matrix Inverse Homework | Linear Equation Matrix Inverse Homework Help | Linear Equation Matrix Inverse Homework Help Services | Live Linear Equation Matrix Inverse Homework Help | Linear Equation Matrix Inverse Homework Tutors | Online Linear Equation Matrix Inverse Homework Help | Linear Equation Matrix Inverse Tutors | Online Linear Equation Matrix Inverse Tutors | Linear Equation Matrix Inverse Homework Services | Linear Equation Matrix InverseSubmit Your Query ???

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