Correct answer: (B) tr(MᵀM)=4; (C) The largest singular value of (MᵀM)⁻¹Mᵀ is 1.
Explanation
The two singular values of M are √3 and 1,both nonzero,so rank=2 and nullity=0. The Gram eigenvalues are 3 and 1,giving trace 4. Its left inverse has singular values 1/√3 and 1,so the largest is 1. **B,C**. The source misprints this question number as Q.38;its position and official key identify it as Q48.
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