Module 23 Question 1 _ _ . Commect Let B = (u,,...,u,) be an ordered orthonormal basis for R™ and define n x n matrix orrec - ~ - - - U=(u; ... wu,) Then forany v € R" its coordinate vector relative Bis UTv, ie.vg = UTv. 3.33 points out of 3.33 {" Flag question Select one: True v False Review theorem on computing coordinates relative given orthonormal basis. The correct answer is True'. Question 2 S The columns of a n x n orthogonal matrix U are an orthonormal basis for R™. orrec 3.34 points out of 3.34 ¢ Flag question Select one: True v False Review definition of orthogonal matrix. The correct answer is True'. Question 3 N If Q is a n x n matrix with orthogonal columns then QTQ = I, where I, is the n x n identity matrix. orrec 3.33 points out of 3.33 ¥ Flag question Select one: True False v Pay attention to the diagonal entries in the product QT Q. Review definition of orthogonal matrix. The correct answer is 'False’.
