GATE Civil 2022 Set 2 | Question: 35

Question

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

• A. $yy^{T}$ is a symmetric matrix.
• B. $y^{T}y$ is an eigenvalue of $yy^{T}.$
• C. $yy^{T}$ has a rank of $2022.$
• D. $yy^{T}$ is invertible.