# To show a given matrix is orthogonal

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Linear Algebra

Matrices (IX)

Orthoganal Matrix

Show that the matrix

A = [-8/9, 4/9 , 1/9; 1/9 , 4/9 , -8/9; 4/9 , 7/9 , 4/9]

is orthogonal.

The fully formatted problem is in the attached file.

Â© BrainMass Inc. brainmass.com March 4, 2021, 6:28 pm ad1c9bdddfhttps://brainmass.com/math/linear-algebra/show-given-matrix-orthogonal-45926

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Linear Algebra

Matrices (IX)

Orthoganal Matrix

...

#### Solution Summary

A matrix is shown to be orthogonal. The solution is detailed and well presented.

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