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Important Questions

CBSE Guess > Papers > Important Questions > Class XII > 2009 > Maths > Mathematics By Anil Kumar Tondak

CBSE CLASS XII

Matrices

Q. 1. Construct a 3´4 matrix, whose elements are given by aij=

Q. 2. If A = and B = , then find the matrix X, such that 2A + 3X = 5B.

Q. 3. If A = and I = , then show that I+A= (I – A)
Q. 4. Express the matrix A= as the sum of symmetric and skew-symmetric matrix
Q. 5. Obtain the inverse of the matrix A = using elementary transformations.

Q. 6. If f(x)= Prove that f(x). f(y) = f(x + y)

Q. 7. Show that the matrix B¢AB is symmetric or skew-symmetric according as A is symmetric or skew symmetric.

Q. 8. If A and B are invertible matrices of the same order, then prove that (AB)-1 = B-1A-1
Q. 9. Let f(x) = x2 – 5x + 6. Find f(A) If  A =
Q. 10. If A = Show that A2 -5A + 7I = 0, Use this to find A4.
Q. 11. Express the matrix A = as the sum of a symmetric and a skew-symmetric matrix.
Q. 12. Find the values of x, y, z if the matrix A = satisfy the equation A¢A = I3.

Q. 13. Show that: =

Q. 14. Show that the following system of equations is consistent 2x – y + 3z = 5, 3x + 2y – z = 7, 4x + 5y – 5z = 9 Also, find the solution.

Prepared By Anil Kumar Tondak
M.Sc.(Maths), M.Ed., M.A.(Eco),M.B.A.(Mkt)
Mob No. 9811363962

Maths
  1. Application of Derivatives
  2. Inverse Trigonometric Functions
  3. Matrices
  4. Determinants
  5. Integrals
  6. Differential Equations
  7. Application of Integrals
  8. Continuity & Differentiation
  9. Vector Algebra
  10. Three Dimensional Geometry
  11. Probability
  12. Linear Programming
  13. Relations & Functions