![]() ![]() Quite neat and elegant, and the human does the thinking while the computer does the calculating.įor fun (and to help you learn), let us do this all again, but put matrix "X" first. ![]() Just like on the Systems of Linear Equations page. Then multiply A -1 by B (we can use the Matrix Calculator again): (I left the 1/determinant outside the matrix to make the numbers simpler) It means that we can find the values of x, y and z (the X matrix) by multiplying the inverse of the A matrix by the B matrix.įirst, we need to find the inverse of the A matrix (assuming it exists!) ![]() Then (as shown on the Inverse of a Matrix page) the solution is this: A is the 3x3 matrix of x, y and z coefficients.Which is the original left side of our equations above (you might like to check that). Why does go there? Because when we Multiply Matrices the left side becomes: ![]()
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