CBSE Guess > Papers > Important Questions > Class XII > 2009 > Maths > Mathematics By Anil Kumar Tondak CBSE CLASS XII Matrices Q. 1. Construct a 3´4 matrix, whose elements are given by aij= Q. 2. If A = and B = , then find the matrix X, such that 2A + 3X = 5B. Q. 3. If A = and I = , then show that I+A= (I – A) Q. 6. If f(x)= Prove that f(x). f(y) = f(x + y) Q. 7. Show that the matrix B¢AB is symmetric or skewsymmetric according as A is symmetric or skew symmetric. Q. 8. If A and B are invertible matrices of the same order, then prove that (AB)^{1} = B1A^{1} Q. 13. Show that: = Q. 14. Show that the following system of equations is consistent 2x – y + 3z = 5, 3x + 2y – z = 7, 4x + 5y – 5z = 9 Also, find the solution. Prepared By Anil Kumar Tondak

