GATE Civil 2023 Set 1 | Question: 14

Question

If $\boldsymbol{M}$ is an arbitrary real $ n \times n $ matrix, then which of the following matrices will have non-negative eigenvalues?

• A. $\boldsymbol{M}^{2}$
• B. $\boldsymbol{MM}^{T}$
• C. $\boldsymbol{M}^{T} \boldsymbol{M}$ 
• D. $\left(\boldsymbol{M}^{T}\right)^{2}$