CBSE Guess > Papers > Important Questions > Class XII > 2011 > Maths > Maths By Mrs. E.Praveen

CBSE CLASS XII

Matrices and Determinants (1 Mark questions)

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21. If A is 3x4 matrix and B is a matrix such that A’B and BA’ are both defined, then find the order of matrix B .
22. If a square matrix A be singular find the matrix A ( adj A ).
23. If A is an invertible matrix of order 2 and det (A) = 5, then find det ( A^-1) .
24. Evaluate .
25. If A and B are symmetric matrices of same order. Prove that AB-BA is skew symmetric matrix.
26. For what value of k, the matrix is singular.
27. If A and B are symmetric matrices then show that AB-BA will be skew-symmetric.
28. If be singular matrix, then find then find the value of ‘x’ ?
29. If A and B are two matrices such that AB =A and BA = B then what is value of B².
30. If is additive inverse of . Find x, y, z and t .
31. Construct 3x2 matrix If A = [a_ij] where a_ij = { i+j, if i > j ; i-j, if i< j }.
32. Construct a 2 x 2 matrix A= [ a_ij ] whose elements are given by .
33. If find the values of a and b.
34. Find value of x, If matrix is not invertible.
35. is a skew symmetric, find value of x.
36. Construct a 2x2 matrix A = [a_ij] whose element are given by .
37. For any 2 x 2 matrix, if , then find |A|.
38. If A is a square matrix such that A² = A. Find the value of (I+A)³ – 7A.
39. Find the cofactor of (1, 2) ^th entry in the given matrix .
40. If a matrix is both is symmetric and skew symmetric, then show that it is a null matrix.
41. If B is a skew symmetric, write whether the matrix (ABA ) is symmetric or skew symmetric.
42. Which type of matrix is this?

 

Submitted By Mrs. E.Praveen
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