Pauli matrix 1 - Wolfram|Alpha

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Input

PauliMatrix[1]

Result

(0 | 1
1 | 0)

Dimensions

2 (rows) × 2 (columns)

Matrix plot

Matrix plot

Transpose

(0 | 1
1 | 0)

Trace

Determinant

Characteristic polynomial

λ^2 - 1

Characteristic polynomial »

Eigenvalues

λ_1 = -1

λ_2 = 1

Eigenvectors

v_1 = (-1, 1)

v_2 = (1, 1)

Condition number

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