Inverse of a Matrix

JEE Main Mathematics · Matrices and Determinants · 4 questions, latest first

• Consider the matrices A= [2, -2; 4, -2] and B= [3, 9; 1, 3]. If matrices P and Q are such that PA=B and A Q=B, then the absolute…20262 April, Shift 2 · Q22
• Let A, B and C be three 2 × 2 matrices with real entries such that B=(I+A)^-1 and A+C=I. If BC= [1, -5; -1, 2] and CB [x_1; x_2]…202628 January, Shift 1 · Q5
• Let A=[a_ij] be a 3 × 3 matrix such that A [0; 1; 0] = [0; 0; 1], A [4; 1; 3] = [0; 1; 0] and A [2; 1; 2] = [1; 0; 0], then a_23…202523 January, Shift 2 · Q5
• Let A= [2, 0, 1; 1, 1, 0; 1, 0, 1], B=[B_1, B_2, B_3], where B_1, B_2, B_3 are column matrics, and A B_1= [1; 0; 0], A B_2= [2;…202427 January, Shift 1 · Q22