Class 12 CBSE Applied Maths Determinants Exercise 4.2

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.

Class 12 CBSE Applied Maths Determinants Exercise 4.2

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Q1. Without expanding, find the values of :

Q2. Without expanding, find the values of :

Q3. Without expanding, find the values of :

Q4. Without expanding, find the values of :

Q5. If A is a square matrix of order 2 and | A| = —5, find the value of |3A|.

Q6. If A is a Square matrix of order 3 and | A| = 4, then write the value of |2A|.

Q7. If A is a square matrix of order 3 and | A| = —2, find the value of |-5A|.

Q8. If A is a Square matrix of order 3 and |3A| =k|A|, then find the value of k.

Q9. If A is a Square matrix such that | A| = 5, write the value of |AAT|.

Q10. If A is a square matrix satisfying AA’ = I, write the value of |A|,

Q11. If A = and |A3| = 125, find the value(s) of x.

Q12. Show that one root of the equation =0 is -(a+b+c),

Q13. Without expanding, prove that

Q14. Use properties of determinants to solve for x :

Q15. Using the properties of determinants, prove that

Q16. Using properties of determinants, prove that :

Q17.

Q19.

Q20.

Q21.

Q22.

Q23.

Q24.

Q25. Using properties of determinants, solve the following equations for x:

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Q9. If A is a Square matrix such that | A| = 5, write the value of |AA^T|.

Q11. If A = and |A³| = 125, find the value(s) of x.