1/2 and A'- [k/2 0 11. If A- then k++m - P13 1/3 m/4 1/4 (A) 1 (B) 9 (C) 14 (D) 29 If A is a square matrix of order 3, and A + A+21 =0, then (B) |A +|-0 (D) |A||A+1=2 12. (A) A can not be a skew-symmetric matrix (C) A is nonsingular and A'=(A +1) If A is a square matrix of order 3, then consider the following statements 1: If JA =0 then Adj A =0 I1: H |A| = 0, then A =A[" 13. Which of the above statements is/are true ? (A) Both I and I (C) I only (D) Il only (B) Neither I nor II The system of equations x-2y +3z = 5,2x - 2y +z = 0,-x+2y - 3z = 6 has (A) infinitely many solutions (C) unique solution 14. (B) exactly two solutions (D) no solution 2 15. The values of t such that the matrix 2 has no inverse, are 4 7-t -6 (A) 3, 2 (B) 3, -2 (C) -3, 2 (D) -3, -2 [19 1 16. If the point P(a, B. Y) lies on the plane 2x + y+z =1 and [a B 7]8 2 1=[00 0], then a +B + y- 7 3 1 (A) 34 (B) 43 (C) 68 (D) 86 If A -1 then the incorrect option among the following is 17. 1 0 (B) (A' +1) - A (A -1) (D) A' +1= A(A' -1) (A) A' -1= A(A -1) (C) A -1= A +1 x' + x x+1 X-2 18. If 2x + 3x -1 3x 3x - 3 = xA +B, where A and B are determinants of order 3 not involving x, then JA| = x* +2x +3 2x -1 2x -1 (A) 27 (B) 24 (C) 19 (D) -8 The system of equations x + y + z = 5, x + 2y + az = 9, x + 2y + z =b is inconsistent if (A) a = 1, b = 9 19. (B) a = 1, b 9 (C) a 1, b = 9 (D) a-1, b9 cos(2r/3) sin(2n/33) - sin(2n/33) cos(2n/33) 20. If A = then A