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If A is a non-singular matrix of order 3and ।A।=4, then value of ।A ^-1। (mod of A inverse) is ?
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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.
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If A is a non-singular matrix of order 3and ।A।=4, then value of ।A ^-...
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If A is a non-singular matrix of order 3and ।A।=4, then value of ।A ^-1। (mod of A inverse) is ?
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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 ?.
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