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M is a 2 × 2 matrix with eigenvalues 4 and 9. The eigenvalues of M2 are
- a)2 and 3
- b)-2 and 3
- c)16 and 81
- d)4 and 9
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
M is a 2 × 2 matrix with eigenvalues 4 and 9. The eigenvalues of...
M is a 2 × 2 Matrix with Eigen value 4 and 9 If has λ1, λ2 _ _ _ _ _ λn Eigen values
Mn → λ1n, λ2n _ _ _ λnn Eigen values
M2 → 42, 92
∴ M2 has Eigen values as 16 and 81
Mn → λ1n, λ2n _ _ _ λnn Eigen values
M2 → 42, 92
∴ M2 has Eigen values as 16 and 81
Most Upvoted Answer
M is a 2 × 2 matrix with eigenvalues 4 and 9. The eigenvalues of...
It is from property of eigen value
if A is eigen value of matrix M then eigen value of M^n is A^n
n is square, cube....
if A is eigen value of matrix M then eigen value of M^n is A^n
n is square, cube....
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M is a 2 × 2 matrix with eigenvalues 4 and 9. The eigenvalues of...
M is a 2 × 2 Matrix with Eigen value 4 and 9 If has λ1, λ2 _ _ _ _ _ λn Eigen values
Mn → λ1n, λ2n _ _ _ λnn Eigen values
M2 → 42, 92
∴ M2 has Eigen values as 16 and 81
Mn → λ1n, λ2n _ _ _ λnn Eigen values
M2 → 42, 92
∴ M2 has Eigen values as 16 and 81
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M is a 2 × 2 matrix with eigenvalues 4 and 9. The eigenvalues of M2 area)2 and 3b)-2 and 3c)16 and 81d)4 and 9Correct answer is option 'C'. Can you explain this answer?
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