Linear Algebra : Orthogonal Matrices

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Example Questions

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Example Question #1 : Orthogonal Matrices

Determine if the following matrix is orthogonal or not.

Possible Answers:

 is not an orthogonal matrix

 is an orthogonal matrix

Correct answer:

 is an orthogonal matrix

Explanation:

To determine if a matrix is orthogonal, we need to multiply the matrix by it's transpose, and see if we get the identity matrix.

Since we get the identity matrix, then we know that  is an orthogonal matrix.

Example Question #2 : Orthogonal Matrices

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Example Question #3 : Orthogonal Matrices

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Example Question #4 : Orthogonal Matrices

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Example Question #6 : Orthogonal Matrices

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Example Question #7 : Orthogonal Matrices

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Example Question #8 : Orthogonal Matrices

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Example Question #9 : Orthogonal Matrices

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Example Question #10 : Orthogonal Matrices

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