CBSE Guess > Papers > Important Questions > Class XII > 2010 > Maths > Mathematics By Mr. Manish Lekhwar

CBSE CLASS XII

Q. 10.

Let A = . Find X and Y such that, X + Y = A and X is a symmetric matrix and Y is a skew symmetric matrix.

Q.11.

Let A = and I be the identity matrix of order 2.
Show that

Q. 12.

Let f(x) = x2 + 5x + 6I, find f(A) if

Q. 13.

If f(x) = then prove that f(x).f(y) = f(x+y).

Q. 14.

If f (x) = then prove that f(x). f(y) = f(x + y).

Q. 15. If A = prove by mathematical induction that where I is the identity matrix of the order 2 and n is a positive integer.

Q. 16. 

1. 
   If A = , show that A² is a zero matrix.
   
   
2. 
   If A = , show that A² is a zero matrix
   
   
3. 
   If A = , show that A² =

Paper By Mr. Manish Lekhwar
Email Id :[email protected]