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Back to Orthonormal Matrices

Exercise 1

Avg difficulty 3.0

Decide if each of these is an orthonormal matrix.

  • (1/2−1/2−1/2−1/2)\begin{pmatrix}1/\sqrt{2}&-1/\sqrt{2}\\ -1/\sqrt{2}&-1/\sqrt{2}\end{pmatrix}

  • (1/3−1/3−1/3−1/3)\begin{pmatrix}1/\sqrt{3}&-1/\sqrt{3}\\ -1/\sqrt{3}&-1/\sqrt{3}\end{pmatrix}

  • (1/3−2/3−2/3−1/3)\begin{pmatrix}1/\sqrt{3}&-\sqrt{2}/\sqrt{3}\\ -\sqrt{2}/\sqrt{3}&-1/\sqrt{3}\end{pmatrix}

Hefferon, Linear Algebra, Maps Between Spaces, Orthonormal Matrices, Exercise 1

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Adapted from Linear Algebra © 2016 Jim Hefferon. Licensed under CC BY-SA 3.0 US. Source: Linear Algebra. Imported at revision df2262e.