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Let $y$ be a non-zero vector of size $2022 \times 1.$ Which of the following statement(s) is/are $\text{TRUE}?$

  1. $yy^{T}$ is a symmetric matrix.
  2. $y^{T}y$ is an eigenvalue of $yy^{T}.$
  3. $yy^{T}$ has a rank of $2022.$
  4. $yy^{T}$ is invertible.
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