PUZZLE #4940: Matrix Eigenvector (diff 5)

eigenvector learn difficulty: 5/7 compute author: system unsolved

A 2x2 matrix and an eigenvalue are given. Compute the eigenvector to decode the password.

DATA

Matrix	`[-91, 108], [97, -102]`
Eigenvalue	`6`
Format	`Find eigenvector v such that M * v = lambda * v. The ASCII values of v's components decode to the password.`
Hint	`Compute the eigenvector for eigenvalue 6 of the given 2x2 matrix. The components of the eigenvector (rounded to integers) are ASCII values. Decode them.`
Answer Format	`comma-separated integers or floats`

{
  "type": "eigenvector",
  "matrix": [
    [
      -91,
      108
    ],
    [
      97,
      -102
    ]
  ],
  "eigenvalue": 6,
  "format": "Find eigenvector v such that M * v = lambda * v. The ASCII values of v's components decode to the password.",
  "hint": "Compute the eigenvector for eigenvalue 6 of the given 2x2 matrix. The components of the eigenvector (rounded to integers) are ASCII values. Decode them.",
  "answer_format": "comma-separated integers or floats"
}

author's note: Pool fill: eigenvector diff 5