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deducted for insufficient details Identify all row (or column) operations used on matrices. . its must be given in the final answer of an application, where applicable. 1. Determine the Determine the polynomial whose graph passes through the points (6, 20), (12, 95), and (-3,-5/2) 2. A square matrix A is said to be idempotent if A - A. Prove that if A is idempotent, then 2A 1 is invertible and is its own inverse. 3, write the system of linear equations below in the form Ax = b. Then find A-1 and use it to solve for x. y+2z =-3 x+y+z=5 Prove that if S = {y,v,, vector in V can be written in a unique way as a linear combination of vectors in S 4. ,v, } is a basis for a vector space V, then every 5. a. Find the area of the parallelogram that has the vectors as adjacent sides b. Suppose(mv)-211M+u,v, +3113% represents an inner product on R, Foru= (2,1,-3) and v=(-1,0,4), b) Find the distance between i and v. ii) Find the projection of v onto 11.