CSIR NET Mathematics 2023|Linear Algebra | 22 September 2023

Let A be a 4 × 4 matrix. Such that both A & Adj (A) are non-null matrix. It det A = 0 then the rank (A) is

which of the following is true for two subspace W₁ & W₂ of V(F)?

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

Let A & B be two n × n matrices over a field F then

Let A be a 4 × 3 matrix whose column form a LI set then which of the following is/are false?