CBSE CLASS XII
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 skew-symmetric 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 = B-1A-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