cvindel95811 cvindel95811
  • 21-09-2019
  • Mathematics
contestada

Every orthogonal matrix is invertible. O True O False

Respuesta :

Manetho
Manetho Manetho
  • 24-09-2019

Answer:

True

Step-by-step explanation:

Every orthogonal matrix is invertible. This is a true statement.

Orthogonal matrices are square matrix whose rows and columns are orthogonal unit vectors.

In an orthogonal matrix columns are linearly independent and since the columns are linearly independent the matrix will be matrix will be invertible. This is according to invertible matrix theorem.

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