CSIR NET Mathematics 2022|Linear Algebra (18 NOVEMBER)

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

Let M be a real matrix which has 0, 1, and -1 as eigen values which of the following is  true of M?

Let A be a 5 × 5 matrix of rank A is 4. Then the system of linear equation Ax = 0 has

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

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)