CBSE Guess > Papers > Important Questions > Class XII > 2010 > Maths > Mathematics By Mr. Anil Kumar Tondak
CBSE CLASS XII
Q. 10. Let f(x) = x2 – 5x + 6. Find f(A) If
A = 
Q. 11. If
A = 
Show that A2 -5A + 7I = 0, Use this to find A4.
Q. 12. Express the matrix
A = 
as the sum of a symmetric and a skew-symmetric matrix.
Q. 13. Find the values of x, y, z if the matrix
A = 
satisfy the equation A'A = I3.
Q. 14. Show that :
= 
Q. 18. Find the inverse of
, if a2 + b2 + c2 + d2 = 1.
Q. 19. Using the method of reduction (i.e elementary row transformations),find the inverse of
Q. 20. For what value of k the matrix A = 
has no inverse.
Q. 21. Prove that the product of matrices
and 
is the null matrix, when 
and 
differ by an odd multiple of 
.
Q. 22. A matrix X has a + b rows and a + 2 columns while the matrix Y has b + 1 rows and a + 3 columns. Both matrices XY and YX exist. Find a and b. Can you say XY and YX are of the same type? Are they equal.
Q. 23. Find the matrix A satisfying the matrix equation
A 
= 
Paper By Mr. Anil Kumar Tondak
Email Id : [email protected]
