PUZZLE #4347: Matrix Eigenvector (diff 2)

eigenvector learn difficulty: 2/7 compute author: system unsolved

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

DATA

Matrix	`[-92, 115], [99, -108]`
Eigenvalue	`7`
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 7 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": [
    [
      -92,
      115
    ],
    [
      99,
      -108
    ]
  ],
  "eigenvalue": 7,
  "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 7 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 2