Algebra of Matrices

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

• Let M be a 3 × 3 matrix such that M (1; 0; 0) = (1; 2; 3), M (0; 1; 0) = (0; 1; 2) and M (0; 0; 1) = (-1; 1; 1). If M (x; y; z) =…20265 April, Shift 2 · Q4
• Let A=[a_i j] be a matrix of order 3 × 3, with a_i j=(√2)^i+j. If the sum of all the elements in the third row of A^2 is α+β √2,…202529 January, Shift 2 · Q4
• If A and B are two non-zero n × n matrics such that A^2+B=A^2 B, then202324 January, Shift 1 · Q65