Comments on: What is a determinant?

By: Mark Eichenlaub

Mark Eichenlaub — Thu, 10 May 2012 01:08:31 +0000

They were made with GIMP.

By: Voislav Sauca

Voislav Sauca — Tue, 08 May 2012 14:04:12 +0000

With what tools are making the designs?., thanks

By: simplethebest1

simplethebest1 — Tue, 08 May 2012 14:01:41 +0000

In what tool have you make the designs?., thanks

By: Jim

Jim — Wed, 08 Feb 2012 18:10:30 +0000

In the second to last line “multipys” should be “multiplies”.
Sorry

By: Jim

Jim — Wed, 08 Feb 2012 16:20:27 +0000

I meant to say in the above correction “apply the matrix of the given linear transformation to the n x k array of column vectors”
Sorry.

By: Jim

Jim — Wed, 08 Feb 2012 16:18:57 +0000

I meant to say in the seventh line “apply the matrix of the given
linear matrix to the n x k array of column vectors”
Sorry.

By: Jim

Jim — Wed, 08 Feb 2012 16:15:45 +0000

In general a linear transformation in Rn multiplies k-dimensional
volume in any k-flat by a constant factor which depends on the k-flat. To calculate this factor for any k-flat take any basis of the
linear subspace corresponding to the k-flat and arrange them as
column vectors forming an n x k array, Calculate all k x k minors
of this array , square them and add up the squares.
Next apply the matrix of the given linear transformation to the k x k
array and calculate all k x k minors of the resultant n x k array and
again square them and add them up.
Divide the second sum of squares of k x k minors by the first and
then take the square root of the result.
This the factor by which the given linear transformation multiplys
all k-volumes in the given k-flat.

By: Quora

Quora — Tue, 24 Jan 2012 11:31:47 +0000

What is a determinant of a matrix?…

The simpler the English, the more of it there will have to be. Some main points are * A matrix is a transformation which can be thought of as any combination of the “scale”, “rotate”, “shear”, and “flip” buttons in Photoshop. * As Vaibhav Mally…