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# Geometric meaning of a matrix watch

1. How do I describe the geometric meaning of the 2x2 matrix
1 -1
1 1
2. (Original post by Balkaran)
How do I describe the geometric meaning of the 2x2 matrix
1 -1
1 1
What does it do to the (standard) basis vectors of R^2? That might help you see what transformation it represents.
3. (Original post by Zacken)
What does it do to the (standard) basis vectors of R^2? That might help you see what transformation it represents.
I'm confused with what you mean.
what is the standard basis vectors is it the identity matrix?
4. You should be able to identify that it's of a standard form of a type of transformation matrix.
5. (Original post by Balkaran)
I'm confused with what you mean.
what is the standard basis vectors is it the identity matrix?
e_1 = (1 0) and e_2 = (0 1)
6. (Original post by Balkaran)
How do I describe the geometric meaning of the 2x2 matrix
1 -1
1 1
I would use the base vectors which are
1
0

and

0
1

Multiply the matrix by each of those to see what happens to a unit square..
7. (Original post by B_9710)
You should be able to identify that it's of a standard form of a type of transformation matrix.
what's a standard form of a matrix
8. (Original post by Balkaran)
what's a standard form of a matrix
Never mind what I said I didn't even read the matrix correctly
9. (Original post by Muttley79)
I would use the base vectors which are
1
0

and

0
1

Multiply the matrix by each of those to see what happens to a unit square..
yeah I did that the image I got
0 1 0 -1
0 1 2 1
10. (Original post by Zacken)
e_1 = (1 0) and e_2 = (0 1)
wait is it a rotation then enlargement because it enlarges by root(2) cause the det is 2 and looks like it rotates by 45 degrees

I'm not sure
11. (Original post by Balkaran)
wait is it a rotation then enlargement because it enlarges by root(2) cause the det is 2 and looks like it rotates by 45 degrees

I'm not sure
yep

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