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If the eigen values of a square matrix be 1, - 2 and 3, then the eigen values of the matrix 3A are
- a)1, - 2, 3
- b)3, - 6, 9
- c)1/3, - 2/3, 1
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
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If the eigen values of a square matrix be 1, - 2 and 3, then the eigen...
Eigenvalues of a matrix and scalar multiplication
Given matrix A has eigenvalues 1, -2, and 3
We need to find the eigenvalues of the matrix 3A
To find the eigenvalues of 3A, we need to use the following formula:
If λ is an eigenvalue of A, then kλ is an eigenvalue of kA, where k is a scalar.
Therefore, the eigenvalues of 3A will be:
3(1) = 3
3(-2) = -6
3(3) = 9
Hence, the eigenvalues of the matrix 3A are 3, -6, and 9, which is option B.
Given matrix A has eigenvalues 1, -2, and 3
We need to find the eigenvalues of the matrix 3A
To find the eigenvalues of 3A, we need to use the following formula:
If λ is an eigenvalue of A, then kλ is an eigenvalue of kA, where k is a scalar.
Therefore, the eigenvalues of 3A will be:
3(1) = 3
3(-2) = -6
3(3) = 9
Hence, the eigenvalues of the matrix 3A are 3, -6, and 9, which is option B.
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If the eigen values of a square matrix be 1, - 2 and 3, then the eigen values of the matrix 3A area)1, - 2, 3b)3, - 6, 9c)1/3, - 2/3, 1d)none of theseCorrect answer is option 'B'. Can you explain this answer?
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