Determinants and Their Expansion

JEE Main Mathematics · Matrices and Determinants · 3 questions, latest first

• Let A be a 3 × 3 matrix of non-negative real elements such that A [1; 1; 1] =3 [1; 1; 1]. Then the maximum value of det(A) is…20244 April, Shift 1 · Q22
• If |x+1, x, x; x, x+λ, x; x, x, x+λ^2| =9/8(103 x+81), then λ, (λ)/3 are the roots of the equation202311 April, Shift 2 · Q5
• Let α be a root of the equation (a-c) x^2+(b-a) x+(c-b)=0 where a, b, c are distinct real numbers such that the matrix [α^2, α,…202324 January, Shift 1 · Q66