Is it solvable?
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From: Land of Cincinnati Chili
Originally Posted by vtec9,Jan 28 2008, 06:14 PM
he teaches math..
So when he is solving equations he can always use the phrase "and then magic happens..."
My favorite was always "...which involves mathematical concepts that even I don't understand"
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From: Los Angeles
Originally Posted by magician,Jan 28 2008, 10:43 AM
More accurately, the solution set is a line in 3-space. (A "graph" could be a line, a plane, a set of discrete points, a hyperbolic paraboloid, the interior of a cube, and so on.)
The coefficient matrix for the system is:
[1 0 13/2]
[0 1 -3/2]
and augmented matrix for this system is:
[1 0 13/2 29/2]
[0 1 -3/2 -9/2].
The dimension of the row space for the coefficient matrix is 2, as is the dimension of the row space for the augmented matrix; thus, the system is soluble. The dimension of the solution space is 3 - 2 = 1.
The solution space is the set of all points in 3-space having the form ((29 - 13t) / 2, (3t - 9) / 2, t), -∞ < t < ∞.
The coefficient matrix for the system is:
[1 0 13/2]
[0 1 -3/2]
and augmented matrix for this system is:
[1 0 13/2 29/2]
[0 1 -3/2 -9/2].
The dimension of the row space for the coefficient matrix is 2, as is the dimension of the row space for the augmented matrix; thus, the system is soluble. The dimension of the solution space is 3 - 2 = 1.
The solution space is the set of all points in 3-space having the form ((29 - 13t) / 2, (3t - 9) / 2, t), -∞ < t < ∞.
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From: Hollywood
More accurately, the solution set is a line in 3-space. (A "graph" could be a line, a plane, a set of discrete points, a hyperbolic paraboloid, the interior of a cube, and so on.)
The coefficient matrix for the system is:
1.21 jiggawatts!!!
The coefficient matrix for the system is:
1.21 jiggawatts!!!
Joined: Mar 2002
Posts: 112,963
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From: Doh!!
Originally Posted by meth,Jan 28 2008, 05:09 PM
More accurately, the solution set is a line in 3-space. (A "graph" could be a line, a plane, a set of discrete points, a hyperbolic paraboloid, the interior of a cube, and so on.)
The coefficient matrix for the system is:
1.21 jiggawatts!!!
The coefficient matrix for the system is:
1.21 jiggawatts!!!
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From: Yorba Linda, CA
Originally Posted by Angelus1243,Jan 28 2008, 06:51 PM
I'm pretty sure this is what Magician looks like...
Now I'm outta' here: my algebraic topology book just arrived from Amazon!
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From: San Diego, Wess-Side!!
Originally Posted by magician,Jan 28 2008, 10:43 AM
More accurately, the solution set is a line in 3-space. (A "graph" could be a line, a plane, a set of discrete points, a hyperbolic paraboloid, the interior of a cube, and so on.)
The coefficient matrix for the system is:
[1 0 13/2]
[0 1 -3/2]
and augmented matrix for this system is:
[1 0 13/2 29/2]
[0 1 -3/2 -9/2].
The dimension of the row space for the coefficient matrix is 2, as is the dimension of the row space for the augmented matrix; thus, the system is soluble. The dimension of the solution space is 3 - 2 = 1.
The solution space is the set of all points in 3-space having the form ((29 - 13t) / 2, (3t - 9) / 2, t), -∞ < t < ∞.
The coefficient matrix for the system is:
[1 0 13/2]
[0 1 -3/2]
and augmented matrix for this system is:
[1 0 13/2 29/2]
[0 1 -3/2 -9/2].
The dimension of the row space for the coefficient matrix is 2, as is the dimension of the row space for the augmented matrix; thus, the system is soluble. The dimension of the solution space is 3 - 2 = 1.
The solution space is the set of all points in 3-space having the form ((29 - 13t) / 2, (3t - 9) / 2, t), -∞ < t < ∞.
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From: Connecticut
Originally Posted by magician,Jan 28 2008, 11:58 PM
Now I'm outta' here: my algebraic topology book just arrived from Amazon!