If then what does equal?

Can you show in steps as I find this topic confusing. Thanks in advance.

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- Jun 18th 2008, 11:01 AMSimplicityTransformation
If then what does equal?

Can you show in steps as I find this topic confusing. Thanks in advance. - Jun 18th 2008, 11:10 AMbobak
Still breathing after this morning huh ?

Bobak - Jun 18th 2008, 11:47 AMMoo
- Jun 18th 2008, 01:11 PMSimplicity
- Jun 18th 2008, 01:13 PMMoo
- Jun 18th 2008, 01:46 PMbobak
Can you find the 3 by 3 matrix that represents the transformation ?

Bobak - Jun 18th 2008, 02:11 PMSimplicity
- Jun 18th 2008, 02:37 PMbobak
As is a liner transformations there exists and matrix such that to find this matrix you need to find the images of the vectors and under . This all lies down the understanding how matrix multiplication works.

I do this row by row, you see that the vector is preserved under the transformation, so the first row is one combined linearly with no j's or k's

so the first row is

for the next row you combining one with one and no k's

so we have

Then similarly for the next row your combining 1 i with 1 k.

giving

to check this is correct just multiple the two.

so is given by

You following?

Bobak - Jun 18th 2008, 02:44 PMSimplicity