only need Q3 solution.. please provide justified solution asap to get a upvote please I need this solution asap in good hand writing and I will give you good feedback thanks

Math 1B03 - Assignment 3 Due: October 24, 11:59 PM (EDT) Please submit scans / photographs of your full solutions (if handwritten} or pdfs (if typed} to the Crowdmark dropbox by the above date. You are welcome to discuss these problems with your classmates, but please include an acknowledgement naming any classmate who helped you. 1 4 5 1. Let A = 0 2 . Determine for which values of r E R the matrix 3:13 A is invertible. 0 3 0 2. An invertible n x 73. matrix A is called orthogonal if AT = A'l. {a} If A is orthogonal, what are the onlyr possible values for det A? [b] For each value given in part a, give an example of an orthogonal 2 x 2 matrix with that determinant. Show that your examples are orthogonal. 3. Let A be an 'n. x f]. singular matrix- Describe one way to construct a non-zero matrix B sueh that AB = [In (the n x as zero matrix)