Teaching JKPSC Lecturership Mock Test Series 2024-25 Mathematical Science Linear Algebra Inner Product Spaces, Orthonormal Basis
Let n > 1 be a fixed natural number. Which of the following is an inner product on the vector space of n × n real symmetric matrices?
1
〈A, B〉 = (trace(A)) (trace(B))
2
〈A, B〉 = trace (AB)
3
〈A, B〉 = determinant (AB)
4
〈A, B〉 = trace (A) + trace (B)