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Let A be a 3*3 matrix with eigen value 1,-1,0 then the determinant of I A¹⁰⁰?
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Let A be a 3*3 matrix with eigen value 1,-1,0 then the determinant of ...
Given Information:
A is a 3*3 matrix with eigen values 1, -1, 0.
Finding Determinant of A:
- The determinant of A is given by the product of its eigen values.
- Therefore, det(A) = 1 * (-1) * 0 = 0.
Finding A raised to the power of 100:
- Since the eigen values of A are 1, -1, 0, the eigen values of A raised to the power of 100 will be 1^100, (-1)^100, 0^100.
- Therefore, the eigen values of A^100 will be 1, 1, 0.
Calculating the Determinant of A^100:
- The determinant of A^100 is given by the product of its eigen values.
- Therefore, det(A^100) = 1 * 1 * 0 = 0.
Conclusion:
- The determinant of A is 0 and the determinant of A^100 is also 0.
A is a 3*3 matrix with eigen values 1, -1, 0.
Finding Determinant of A:
- The determinant of A is given by the product of its eigen values.
- Therefore, det(A) = 1 * (-1) * 0 = 0.
Finding A raised to the power of 100:
- Since the eigen values of A are 1, -1, 0, the eigen values of A raised to the power of 100 will be 1^100, (-1)^100, 0^100.
- Therefore, the eigen values of A^100 will be 1, 1, 0.
Calculating the Determinant of A^100:
- The determinant of A^100 is given by the product of its eigen values.
- Therefore, det(A^100) = 1 * 1 * 0 = 0.
Conclusion:
- The determinant of A is 0 and the determinant of A^100 is also 0.
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Let A be a 3*3 matrix with eigen value 1,-1,0 then the determinant of I A¹⁰⁰?
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Let A be a 3*3 matrix with eigen value 1,-1,0 then the determinant of I A¹⁰⁰? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let A be a 3*3 matrix with eigen value 1,-1,0 then the determinant of I A¹⁰⁰? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let A be a 3*3 matrix with eigen value 1,-1,0 then the determinant of I A¹⁰⁰?.
Let A be a 3*3 matrix with eigen value 1,-1,0 then the determinant of I A¹⁰⁰? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let A be a 3*3 matrix with eigen value 1,-1,0 then the determinant of I A¹⁰⁰? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let A be a 3*3 matrix with eigen value 1,-1,0 then the determinant of I A¹⁰⁰?.
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