# Matrices

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#1
How do I do question 2
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3 weeks ago
#2
(Original post by Student 999)
How do I do question 2
Note that the definition is equivalent to

And the one you need is

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#3
(Original post by RDKGames)
Note that the definition is equivalent to

And the one you need is

I thought it was a 2 by 1 matrix since they included the addition sign
0
3 weeks ago
#4
(Original post by Student 999)
I thought it was a 2 by 1 matrix since they included the addition sign
What they've *written* is a 2 x 1 matrix, but the *operation* it's describing can be represented by a 2 x 2 matrix.

For a general 2 x 2 matrix, the definition of multiplication is

The *result* of the matrix multiplication is , which is a 2 x 1 matrix, but the actual *operation* (i.e. the thing you do to to get ) is defined by the 2 x 2 matrix with entries a,b,c,d.
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3 weeks ago
#5
(Original post by Student 999)
How do I do question 2
A slightly different way of approaching b) is to think about how a and b are transformed by each iteration.
[a,0] -> [a, a*sqrt(3)]
[0,b] -> [-b*sqrt(3), b]
Drawing the transformations as triangles, it should be fairly obvious how a general vector is expanded and rotated. The inverse iterations are then rotation in the opposite direction and compression.

It should explain why they ask you to do 6 (inverse) transformations and why the 7th term is powers of 2.
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