question_answer 47)

Find inverse of matrix  

Answer:

Let             = 1 (8 ? 6) + 1 (0 + 9) + 2 (0 ? 6)       = 2 + 9 ? 12 = ?1  0       is non-singular so A?1 exists.       A11 = (?1)1+1(8 ? 6) = 2;       A12 = (?1)1+2(0 ? 9) = ?9;       A13 = (?1)1+3(0 ? 6) = ?6;       A21 = (?1)2+1(?4 + 4) = 0;       A22 = (?1)2+2(4 ? 6) = ?2;       A23 = (?1)2+3(?2 + 3) = ?1;       A31 = (?1)3+1(3 ? 4) = ?1;       A32 = (?1)3+2(?3 ? 0) = 3;       A33 = (?1)3+3(2 ? 0) = 2;                   Now