CSIR NET Mathematics 2024|Linear Algebra| 16 April 2024

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

The rank and signature of the quadratic form -xy + z² in three variables over the reals is

Let V be the set of all polynomials of degree ≤ 2. Define T: V → V by T(p(x)) = p (1) + p (2) x + p (0) x², p(x) ∈ V. Then the trace of the matrix representing T is

How many linear transformations

Consider the matrix ,