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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1. Find x if
2. How many matrices of order 3 x 3 are possible with each entry 0 or 1?
3. For any 2 x 2 matrix, if , then find |A|
4. If A is a square matrix of order 3 such that
5. If A = [1 2 3 4] and Write the order of AB and BA
6. For what value of x, the following matrix is singular?



7. A matrix A of order 3 X 3 has determinant 7, what is the value of |3A|?
8. If A is a square matrix such that A² = A, then find (I + A)² - 3A.
9. If find x, 0 < x < π when A + A’ = I .
10. If A and B are matrices of the equal order and B is skew symmetric, then show that A’BA is skew symmetric.
11. Using elementary operations, find the inverse of
12. Show that the matrix is Skew-symmetric.
13. Express the matrix as the sum of symmetric and a skew- symmetric matrix.
14. A matrix of order 3 X 3 has a determinant 15. What is the value of |5A|?
15. If A is square matrix of order 3 such that |Adj A| = 289, find |A|.
16. Give an example of two non-zero matrices A and B of the same order 2x2 such that AB=0.
17. Find the value of k, if the matrix is singular.
18. Show that the matrix B’AB is symmetric or skew symmetric according as A is symmetric or skew symmetric.
19. Construct a 2 x3 matrix whose elements are given by
20. 

 

Submitted By Mrs. E.Praveen
Email Id : [email protected]