Search Colleges, Courses, Exams, Questions and Articles

Ask a query on 8879100846 Ask Login | Sign Up

 

 
› Tags › Determinant of a 3 x 3 Matrix

Determinant of a 3 x 3 Matrix

Follow Ask Question
2

Questions

0

Discussions

2

Active Users

0

Followers

New answer posted

2 weeks ago

Determinant of a 3 x 3 Matrix Class 12th

If  s i n 2 ( 1 0 0 ) s i n ( 2 0 0 ) s i n ( 4 0 0 ) s i n ( 5 0 0 ) s i n ( 7 0 0 ) = α − 1 1 6 s i n ( 1 0 0 ) ,  then 16 + a-1 is equal to……….
0 Follower 2 Views

R
Raj Pandey

Contributor-Level 9

( s i n 1 0 ° . s i n 5 0 ° . s i n 7 0 ° ) . ( s i n 1 0 ° . s i n 2 0 ° . s i n 4 0 ° )

= ( 1 4 s i n 3 0 ° ) . [ 1 2 s i n 1 0 ° ( c o s 2 0 ° − c o s 6 0 ° ) ]

= 1 3 2 [ s i n 3 0 ° − s i n 1 0 ° − s i n 1 0 ° ]

1 6 4 − 1 1 6 s i n 1 0 °

Clearly α = 1 6 4  

              Hence 16 + a-1 = 80

New answer posted

3 weeks ago

Determinant of a 3 x 3 Matrix Class 12th

If M is a 3 x 3 matrix such that M2 = O, then det ((I + M)50 – 50M) where I is an identity matrix of order 3, is equal to :
0 Follower 2 Views

V
Vishal Baghel

Contributor-Level 10

(I + M)² = (I + M) (I + M) = I + 2M + M² = (I + 2M)
(I + M)³ = (I + 2M) (I + M) = I + 3M + 2M² = (I + 3M)
(I + M)? = I + 50M
det (I + M)? - 50M) = det (I) = 1

    Get authentic answers from experts, students and alumni that you won't find anywhere else

    Sign Up on Shiksha

    On Shiksha, get access to

    • 65k Colleges
    • 1.2k Exams
    • 688k Reviews
    • 1800k Answers

    Share Your College Life Experience

    Write a Review
    Community GuidelinesUser Points System
    QuestionsDiscussionsTags

    ×

    This website uses Cookies and related technologies for the site to function correctly and securely, improve & personalise your browsing experience, analyse traffic, and support our marketing efforts and serve the Core Purpose. By continuing to browse the site, you agree to Privacy Policy and Cookie Policy.