### All Linear Algebra Resources

## Example Questions

### 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 #1 : Orthogonal Matrices

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### Example Question #3 : Orthogonal Matrices

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### Example Question #1 : Orthogonal Matrices

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### Example Question #2 : Orthogonal Matrices

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### Example Question #1 : Orthogonal Matrices

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### Example Question #7 : Orthogonal Matrices

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### Example Question #1 : Orthogonal Matrices

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### Example Question #2 : Orthogonal Matrices

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### Example Question #1 : Orthogonal Matrices

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Kenneth

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University of California-Berkeley, Bachelor in Arts, Mathematics. Portland State University, Master of Science, Mathematics.