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.
If A =
, show that A2 is a zero matrix.
If A =
, show that A2 is a zero matrix
If A =
, show that A2 = 
Paper By Mr. Manish Lekhwar
Email Id :[email protected]
