Product of Determinants

JEE Main Mathematics · Matrices and Determinants · 2 questions, latest first

• If A= [√2, 1; -1, √2], B= [1, 0; 1, 1], C=ABA^T and X=A^T C^2 A, then det X is equal to:20241 February, Shift 1 · Q3
• Let A= [2, 1, 2; 6, 2, 11; 3, 3, 2] and P= [1, 2, 0; 5, 0, 2; 7, 1, 5]. The sum of the prime factors of |P^-1 A P-2 I| is equal to202429 January, Shift 2 · Q3