transposed matrix - Wolfram|Alpha

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Input

(1 | 2 | 3
3 | 2 | 1
2 | 1 | 3)^T

Result

(1 | 3 | 2
2 | 2 | 1
3 | 1 | 3)

Dimensions

3 (rows) × 3 (columns)

Matrix plot

Matrix plot

Trace

Determinant

Inverse

1/12(-5 | 7 | 1
3 | 3 | -3
4 | -8 | 4)

Eigenvalues

λ_1 = 6

λ_2 = -sqrt(2)

λ_3 = sqrt(2)

Eigenvectors

v_1 = (11, 9, 14)

v_2 = (1/2 (-2 - sqrt(2)), 1/sqrt(2), 1)

v_3 = (1/2 (-2 + sqrt(2)), -1/sqrt(2), 1)

Condition number

7.58333

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