Let M be a 2 × 2 matrix. We observe two-dimensional data
X ∈ R2 and wish to apply successively the linear transformation M to these
data according to the process described below:
Algorithm 1 Enter DATA X and integer k ⩾ 1
N ← 1
while N ⩽ k do
X ← MX
N ← N + 1
end while
return X
1. What is the output X of Algorithm 1?
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