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

CBSE CLASS XII

Matrices and Determinants (4 Mark questions)

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1. If ’ find k so that A² = 8A + kI.Hence find A^-1.
2. If a, b, c are in AP, show that .
3. Without using the concept of inverse of a matrix, find the matrix such that .
4. By using properties of determinants show that
5. Using elementary row transformation find the inverse of the matrix .
6. Prove by using properties of determinant .
7. If , then prove that , where n is any positive integer.
8. Using properties of determinants, Prove that .
9. Using the properties of determinants, show that .
10. Express the matrix as the sum of symmetric and skew symmetric matrices.
11. Using the properties of determinants; show that .
12. For the determinant Show that (a+b+c) and (a²+b²+c²) are the factors.
13. Show that satisfies the equation x² + 4x – 42 = 0.Hence find A^-1.
14. Using the properties of determinants, show that .
15. If then prove that .
16. Prove that .
17. Prove by using properties of determinant .
18. If a,b,c are in A.P then find the value of the determinant .
19. If and I is the identity matrix of order 2, show that .
20. Show that .

 

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