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. If A = [-1 2 -5] and B =
, Write the orders of AB and BA.
Solution :
Q2. If A is matrix of order 3 x 3 and B is a matrix of order 2 x 3, can you find AB?
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Q3. If A = 
and B =
,and AB = [cij], find c23 + c31 .
Solution :
Q4. If [x 1]
= O , find the value of x.
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Q5. If 
, write the value of x
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Q6. Write the value of x + y + 2 if 
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Q7. If A = 
and A2 = I, find the value of α2 + β γ.
Solution :
Q8. (i) If A = 
and B = 
, find AB and BA,
(ii) If A = 
, B = 
and AD = BA, then show that B is a scalar matrix.
Solution :
Q9. If A = 
and B = 
, and A2 = B, then find the value(s) of α.
Solution :
Q10. If A is a square matrix such that A2 = I, then find the simplified value of (A - I)3+(A + I)3 - 7A
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Q11. Write the following as a single matrix:
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Q12. If A = 
and B = 
, find 3A2 - 2B + I
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Q13. Find the values of x and y, given that 
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Q14. If A = 
show that , find A2 - 5A - 14I
Solution :
Q15. If A = 
find k so that A2 = kA - 2I
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Q16. If A = 
find f(A), where f(x) = x2-2x + 3
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Q17. If A = 
then find λ,μ so that A2 = λA + μI.
Solution :
Q18.If A = 
then verify that A2 - 4A - 5I = 0
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Q19. If Aand Bare Square matrices of the same order such that AB = BA, prove that
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Q20. Find x if [1 x 1] = 
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Q21. Find a 2 x 2 matrix B such that B = 
= 6I2
Solution :
