Class 12 Exam > Class 12 Questions > If A is a non-singular matrix of order 3and ।...
Start Learning for Free
If A is a non-singular matrix of order 3and ।A।=4, then value of ।A ^-1। (mod of A inverse) is ?
Most Upvoted Answer
If A is a non-singular matrix of order 3and ।A।=4, then value of ।A ^-...
Solution:
Understanding the Problem
Given a non-singular matrix A of order 3 and |A| = 4, we are required to find the value of |A-1| (mod of A inverse).
Explanation
The determinant of a matrix and its inverse are related as follows:
|A| * |A-1| = |I|
where I is the identity matrix of the same order as A.
Since A is a non-singular matrix, |A| is non-zero, and we can rearrange the above equation to get:
|A-1| = |I| / |A|
Now, we are given that |A| = 4. Also, the identity matrix of order 3 has all diagonal elements as 1 and all other elements as 0, so:
|I| = 1 * 1 * 1 - 0 * 0 * 0 = 1
Therefore, we have:
|A-1| = 1 / 4 = 0.25
However, we are required to find the value of |A-1| (mod of A inverse), which means we need to find the remainder when |A-1| is divided by 1. In this case, the remainder is simply the fractional part of 0.25, which is also 0.25.
Conclusion
Therefore, the value of |A-1| (mod of A inverse) is 0.25.
Community Answer
If A is a non-singular matrix of order 3and ।A।=4, then value of ।A ^-...
|
Explore Courses for Class 12 exam
|
|
If A is a non-singular matrix of order 3and ।A।=4, then value of ।A ^-1। (mod of A inverse) is ?
Question Description
If A is a non-singular matrix of order 3and ।A।=4, then value of ।A ^-1। (mod of A inverse) is ? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about If A is a non-singular matrix of order 3and ।A।=4, then value of ।A ^-1। (mod of A inverse) is ? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A is a non-singular matrix of order 3and ।A।=4, then value of ।A ^-1। (mod of A inverse) is ?.
If A is a non-singular matrix of order 3and ।A।=4, then value of ।A ^-1। (mod of A inverse) is ? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about If A is a non-singular matrix of order 3and ।A।=4, then value of ।A ^-1। (mod of A inverse) is ? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A is a non-singular matrix of order 3and ।A।=4, then value of ।A ^-1। (mod of A inverse) is ?.
Solutions for If A is a non-singular matrix of order 3and ।A।=4, then value of ।A ^-1। (mod of A inverse) is ? in English & in Hindi are available as part of our courses for Class 12.
Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of If A is a non-singular matrix of order 3and ।A।=4, then value of ।A ^-1। (mod of A inverse) is ? defined & explained in the simplest way possible. Besides giving the explanation of
If A is a non-singular matrix of order 3and ।A।=4, then value of ।A ^-1। (mod of A inverse) is ?, a detailed solution for If A is a non-singular matrix of order 3and ।A।=4, then value of ।A ^-1। (mod of A inverse) is ? has been provided alongside types of If A is a non-singular matrix of order 3and ।A।=4, then value of ।A ^-1। (mod of A inverse) is ? theory, EduRev gives you an
ample number of questions to practice If A is a non-singular matrix of order 3and ।A।=4, then value of ।A ^-1। (mod of A inverse) is ? tests, examples and also practice Class 12 tests.
|
|
Explore Courses for Class 12 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup