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The Maxima on-line user's manual

Algebra Calculator

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Augcoefmatrix Calculator

Augcoefmatrix

Function: augcoefmatrix ([<eqn_1>, ..., <eqn_m>], [<x_1>, ..., <x_n>]) Returns the augmented coefficient matrix for the variables <x_1>, ..., <x_n> of the system of linear equations <eqn_1>, ..., <eqn_m>. This is the coefficient matrix with a column adjoined for the constant terms in each equation (i.e., those terms not dependent upon <x_1>, ..., <x_n>).

m: [2*x - (a - 1)*y = 5*b, c + b*y + a*x = 0];
 augcoefmatrix (m, [x, y]);

          (%i1) m: [2*x - (a - 1)*y = 5*b, c + b*y + a*x = 0]$
          (%i2) augcoefmatrix (m, [x, y]);
                                 [ 2  1 - a  - 5 b ]
          (%o2)                  [                 ]
                                 [ a    b      c   ]

(%o1)                                true
(%i2) 

Augcoefmatrix Example

Related Examples

augcoefmatrix-display-do-mat_unblocker-max-rowswap

/* Eileen M. Dioquino...

eq[2]: [-2*x1 - 3*x2...

eq[3]: [4*x1 + 2*x2 ...

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augcoefmatrix-display-do-mat_unblocker-max-rowswap

eq[1]: [3*v + 4*w + 5...

eq[2]: [-2*v - 3*w + ...

eq[3]: [4*v + 2*w + 6...

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augcoefmatrix-coefmatrix-col-load-matrix-simpsum-sum

load(linearalgebra);

M : matrix ([1, 2], [...

N : matrix ([-1,3], [...

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augcoefmatrix-coefmatrix-col-load-matrix-simpsum-sum

load(linearalgebra);

M : matrix ([1, 2], [...

N : matrix ([-1,3], [...

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augcoefmatrix-mat_unblocker

eq1: [y + z = 2];

eq2: [2*x + 3*z = 5];

eq3: [x + y +z = 3];

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augcoefmatrix-display-do-mat_unblocker

eq[1]: [3*v + 4*w + 5...

eq[2]: [-2*v - 3*w + ...

eq[3]: [4*v + 2*w + 6...

Calculate

augcoefmatrix-coefmatrix-col-load-matrix-simpsum-sum

load(linearalgebra);

M : matrix ([1, 2], [...

N : matrix ([-1,3], [...

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augcoefmatrix

eq1: [y + z = 2];

eq2: [2*x + 3*z = 5];

eq3: [x + y +z = 3];

Calculate

augcoefmatrix-display-do-mat_unblocker-max-ptriangularize-rowswap

eq[1]: [y + z = 2];

eq[2]: [2*x + 3*z = 5];

eq[3]: [x + y +z = 3];

Calculate

augcoefmatrix-do-mat_unblocker-max-ptriangularize-rowswap

eq[1]: [y + z = 2];

eq[2]: [2*x + 3*z = 5];

eq[3]: [x + y +z = 3];

Calculate