CBSE Guess > Papers > Important Questions > Class XII > 2010 > Maths > Mathematics By Mr. Anil Kumar Tondak
CBSE CLASS XII
Matrices
Q. 1. Construct a 3´4 matrix, whose elements are given by aij= 
Q. 2. Construct a 2´3 matrix A = [aij] whose elements are given by aij
= 
, i # j = |i + 2j|, i = j
Q. 3. If
A = 
and B = 
, then find the matrix X, such that 2A + 3X = 5B.
Q. 4. If
A = 
and I = 
, then show that I+A= (I – A)
Q. 5. Express the matrix
A= 
as the sum of symmetric and skew-symmetric matrix
Q. 6. Obtain the inverse of the matrix
A = 
using elementary transformations.
Q. 7. If
f(x)= 
Prove that f(x). f(y) = f(x + y)
Q. 8. Show that the matrix B¢AB is symmetric or skew-symmetric according as A is symmetric or skew symmetric.
Q. 9. If A and B are invertible matrices of the same order, then prove that (AB)-1 = B-1A-1
Paper By Mr. Anil Kumar Tondak
Email Id : [email protected]
