Class 12 CBSE Applied Maths
Class 12 CBSE Applied Maths aims to develop an understanding of basic mathematical and statistical tools and their
applications in the field of commerce (business/ finance/economics) and social
sciences. Topics covered in Class 12th Applied Maths includes : Numbers, Quantification and
Numerical Applications, Algebra, Calculus, Probability Distributions , Inferential Statistics, Index Numbers and Time-based data , Financial Mathematics , Linear Programming.
Please Select
Q1. Show that (A + A’) is a symmetric matrix, if A = 
Solution :
Q2. If A = 
determine whether A — AT is symmetric or skew-symmetric.
Solution :
Q3. (i) If A = 
and A is symmetric matrix, show that a = b.
(ii) If the matrix 
is symmetric, find the value(s) of x.
Solution :
Q4. If A is a square matrix, prove that A’A is symmetric.
Solution :
Q5. If A, B are symmetric matrices and AB = BA, then show that AB is symmetric.
Solution :
Q6. If A, Band AB are all symmetric matrices, then show that AB = BA. .
Solution :
Q7. If A, B are skew-symmetric matrices and AB = BA, then show that AB is symmetric.
Solution :
Q8. If A, B are skew-symmetric matrices of same order and AB is symmetric, then show that AB = BA.
Solution :
Q9. Show that the matrix A, where A = 
is a symmetric matrix.
Solution :
Q10. If the matrix 
is symmetric, find the values of a and b.
Solution :
Q11. If A and B are symmetric matrices of the same order, prove that AB + BA is symmetric.
Solution :
Q12. Express
each of the following matrices as the sum of a symmetric and a skew-symmetric matrices :
(i) 
(ii) 
Solution :
Q13. Express the following matrices as the sum of symmetric and skew-symmetric matrices:
(i) 
(ii) 
Solution :
