Home UP BOARD Question Papers NCERT Solutions Sample Papers CBSE Notes NCERT Books CBSE Syllabus

Exercise 4.5class 12 Maths NCERT Solutions Chapter 4 Determinants

Class 12 Maths NCERT Solutions Chapter 4: Determinants is developed and witten by our expert teachers. Students can study our solutions of Chapter 4: Determinants class 12 Maths, Find adjoint of each of the matrices in Exercises 1 and 2., , Verify A (adj A) = (adj A) A = |A| I in Exercises 3 and 4, , Find the inverse of each of the matrices (if it exists) given in Exercises 5 to 11., , , , , , , Verify that (AB)–1 = B–1 A–1, show that A2 – 5A + 7I = O. Hence find A–1, 14. For the matrix find the numbers a and b such that A2 + aA + bI = O, 15. For the matrix Show that A3– 6A2 + 5A + 11 I = O. Hence, find A–1, , 17. Let A be a nonsingular square matrix of order 3 × 3. Then |adj A| is equal to (A) |A| (B) |A|2 (C) |A|3 (D) 3|A|, 18. If A is an invertible matrix of order 2, then det (A–1) is equal to (A) det (A) (B)1/det (A) (C) 1 (D) 0.

NCERT Solutions Class 12 Maths
Chapter 4: Determinants
Exercise 4.5 Answers

=Find adjoint of each of the matrices in Exercises 1 and 2.

Find adjoint of each of the matrices in

=

=Verify A (adj A) = (adj A) A = |A| I in Exercises 3 and 4

Verify A (adj A) = (adj A) A = |A| I in

=

=Find the inverse of each of the matrices (if it exists) given in Exercises 5 to 11.

Find the inverse of each of the

=

=

=

=

=

=

=Verify that (AB)–1 = B–1 A–1

Verify that (AB)–1 = B–1 A–1

=show that A2 – 5A + 7I = O. Hence find A–1

show that A2 –  5A + 7I = O. Hence

=14. For the matrix find the numbers a and b such that A2 + aA + bI = O

14. For the matrix find the numbers a

=15. For the matrix Show that A3– 6A2 + 5A + 11 I = O. Hence, find A–1

15. For the matrix Show that A3– 6A2

=

=17.  Let A be a nonsingular square matrix of order 3 × 3. Then |adj A| is equal to
(A) |A|             (B) |A|2            (C) |A|3            (D) 3|A|

17.  Let A be a nonsingular square

=18. If A is an invertible matrix of order 2, then det (A–1) is equal to
(A) det      (A)    (B)1/det (A)             (C) 1                 (D) 0

18. If A is an  invertible matrix of

Important Links

NCERT CBSE Notes Class 6 - 12 Download pdf

Ncert Solution for class 6 to 12 download in pdf

CBSE Model test papars Download in pdf

NCERT Books for Class 1- 12 Hindi & English Medium

Mathematics Biology Psychology
Chemistry English Economics
Sociology Hindi Business Studies
Geography Science Political Science
Statistics Physics Accountancy

CBSE Syllabus Class 9 to 12 Year 2021-22

Last year CBSE Question paper

Important Links

Follow Us On

Face book page ncerthelp twitter page youtube page linkdin page

Solved Last Year Question Paper

If You have any problem/query related to above page please send us your Query to ncerthelp@gmail.com with code Serial No81/7. Thanks

Please Share this webpage on facebook, whatsapp, linkdin and twitter.

Facebook Twitter whatsapp Linkdin

Copyright @ ncerthelp.com A free educational website for CBSE, ICSE and UP board.