Hi guys!
I am struggeling with this task and would appreciate any help at all!
Let T be a linear imaging T : R2 → R2s, which is so that:
. . .\(\displaystyle T\binom{2}{1}\, =\, \binom{-2}{1}\). . .og. . .\(\displaystyle T\binom{1}{1}=\binom{1}{1}\)
a) Find a 2x2 matrix A thus Tx=Ax for all x ∈ R^2
b) Find two eigenvalues and two eigenvectors for A
c) Calculate:
. . .\(\displaystyle (A^5\, +\, A^3\, +\, A)\binom{2}{1}\)
Would love any kind of help with this!
I am struggeling with this task and would appreciate any help at all!
Let T be a linear imaging T : R2 → R2s, which is so that:
. . .\(\displaystyle T\binom{2}{1}\, =\, \binom{-2}{1}\). . .og. . .\(\displaystyle T\binom{1}{1}=\binom{1}{1}\)
a) Find a 2x2 matrix A thus Tx=Ax for all x ∈ R^2
b) Find two eigenvalues and two eigenvectors for A
c) Calculate:
. . .\(\displaystyle (A^5\, +\, A^3\, +\, A)\binom{2}{1}\)
Would love any kind of help with this!
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