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22
help/det
22
help/det
@@ -5,14 +5,14 @@ SYNOPSIS
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det(m)
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TYPES
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m square matrix with elements of suitable type
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m square matrix with elements of suitable type
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return zero or value of type determined by types of elements
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return zero or value of type determined by types of elements
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DESCRIPTION
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The matrix m has to be square, i.e. of dimension 2 with:
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matmax(m,1) - matmin(m,1) == matmax(m,2) - matmin(m,2).
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matmax(m,1) - matmin(m,1) == matmax(m,2) - matmin(m,2).
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If the elements of m are numbers (real or complex), det(m)
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returns the value of the determinant of m.
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@@ -26,15 +26,15 @@ DESCRIPTION
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If m is a 2 x 2 matrix with elements a, b, c, d, where a tests as
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nonzero, det(m) is evaluated by
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det(m) = (a * d) - (c * b).
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det(m) = (a * d) - (c * b).
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If a tests as zero, det(m) = - ((c * b) - (a * d)) is used.
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If m is 3 * 3 with elements a, b, c, d, e, f, g, h, i, where a and
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a * e - d * b test as nonzero, det(m) is evaluated by
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det(m) = ((a * e - d * b) * (a * i - g * c)
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- (a * h - g * b) * (a * f - d * c))/a.
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det(m) = ((a * e - d * b) * (a * i - g * c)
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- (a * h - g * b) * (a * f - d * c))/a.
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EXAMPLE
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; mat A[3,3] = {2, 3, 5, 7, 11, 13, 17, 19, 23}
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@@ -83,7 +83,7 @@ SEE ALSO
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##
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## Calc is distributed in the hope that it will be useful, but WITHOUT
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## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
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## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
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## Public License for more details.
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##
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## A copy of version 2.1 of the GNU Lesser General Public License is
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@@ -91,8 +91,8 @@ SEE ALSO
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## received a copy with calc; if not, write to Free Software Foundation, Inc.
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## 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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##
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## Under source code control: 1995/11/28 11:17:47
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## File existed as early as: 1995
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## Under source code control: 1995/11/28 11:17:47
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## File existed as early as: 1995
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##
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## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
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## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
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## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
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## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
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