Determine which of the matrices in Exercises 7–12 are orthogonal.If orthogonal, find the inverse.7. 1=p2 1=p21=p2 1=p2

Let p1 = − 22 22 and p2 =  22 22. If the matrix P is orthogonal, show that the column vectors of the matrix form an orthonormal set. (If the matrix is not orthogonal, enter NOT ORTHOGONAL.)Find p1 · p2

What does it mean for a matrix to be orthogonal? a. Its determinant is zero. b. It is equal to its negative. c. It has no inverse. d. Its transpose is equal to its inverse.

Find b41 such that a and b are orthogonal. a=(2 0 -1 3) b=(6 -1 3 b41)

Time left 0:11:05Question 2Tries remaining: 2Marked out of 1.00Flag questionQuestion textDiagonalize the matrix [−1−425][−12−45].That is, find a diagonal matrix D𝐷 and an invertible matrix P𝑃 such that A=P⋅D⋅P−1

Consider the matrices and  .Calculate .