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]