x + 2y = 11
2x - 3y - 1
Solve
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We need to solve the above problem using the method of matrices.
X = 2, Y = 1 .
Arrange the elements of equations in matrices and find the coefficient matrix, variable matrix, and constant matrix. Write the equations in AX=B A X = 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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Matrix equations can be used to solve systems of linear equations by using the left and right sides of the equations.
A matrix equation is an equation in which a variable stands for a matrix .
You can solve the simpler matrix equations using matrix addition and scalar multiplication .
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