Question

classify the quadratic forms​

Answer 1

Answer:

over the same field k, we denote by q ⊕ q the quadratic form on V ⊕ V defined by (q ⊕ q )(v, v ) = q(v) + q (v ). Similarly, we denote by q ⊖ q the quadratic form on V ⊕ V defined by (q ⊖ q )(v, v ) = q(v) − q (v ). Let g be a quadratic form in n variables over a field k of characteristic = 2 and let a ∈ k×.