CSIR NET Mathematics 2024|Linear Algebra | 30 April 2024

Consider W = {(a₁, a₂, … a_n)|a₁ + 2a₂ + … + na_n = 0} is a subspace of then what is the dimension of W?

Find all the values a, b and c for which A is symmetric

Let  where 0 ≠ a ∈ R. If B is another 2 × 2 real matrix which commutes with A, then the eigen values of B are always

Let f be a polynomial function of degree at most 2 over (the set of all real numbers) If the constant a & b are such that , then 3a+4b is equal to (round of to 2 place of decimal)

Which of the following is/are not true? Let A & B be n*n matrices