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]