Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

In this lesson, we will learn how to determine whether a matrix is orthogonal and how to find unknown elements of a matrix to be an orthogonal matrix.

Q1:

Is the given matrix orthogonal?

Q2:

Fill in the missing entries to make the matrix orthogonal.

Q3:

Given that the matrix is orthogonal, find the values of , , , and .

Q4:

Q5:

Q6:

Given that the matrix is orthogonal, find the values of π , π , π , and π .

Q7:

Q8:

Q9:

A matrix is said to be orthogonal if π΄ π΄ = πΌ π . Thus, the inverse of an orthogonal matrix is just its transpose. What are the possible values of d e t ( π΄ ) if π΄ is an orthogonal matrix?

Q10:

True or false: the matrix is orthogonal?

Donβt have an account? Sign Up