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. Identify the type of matrices given below and write the order of each matrix:
Solution :
Q2. (i) If A= 
, find a22 + a32
(ii) If B= 
, find b21 + b32 - b13
Solution :
Q3. If A is a matrix of type p x q and R is a row of A, then what is the type of R as a matrix?
Solution :
Q4. If A is a column matrix with 5 rows, then what type of matrix is a row of A?
Solution :
Q5. If a matrix has 18 elements, what the possible orders it can have? What, if it has 11 elements?
Solution :
Q6. If A is a 3 x 3 matrix whose elements are given by aij 1/3| -3i + j |, write the value of a23.
Solution :
Q7. Construct a 2 x 2 matrix A= [aij] whose elements aij are given by:
(i) aij = 2i-j
(ii) aij = |2i-3j|.
Solution :
Q8. Construct a 2 x 3 matrix B= [bij] whose elements bij are given by:
(i) bij = i-3j
(ii) aij = (i+2j)2.
Solution :
Q9. (i) If 
, find the values of x and y.
(ii) Find the value of x, if 
(iii) If 
, find the value of (x + y).
(iv) If 
, then write the value of (y — x).
Solution :
Q10. Find the values of a, b,c and d from the following equations :
Solution :
Q11. Find x, y, if
Solution :
Q12. (i) Write the number of all possible matrices of order 2 x 3 with each entry 1 or 2.
(ii) Write the number of all possible matrices of order 2 x 2 with each entry 1, 2 or 3.
Solution :
