solve this kindly

Question 1 (40 points): Projection onto col A with ATA = I 5 Consider the matrix A = 3V/2 10 and the vector b = 1 (see Unit 2, slide 19). a) Prove that be colA, that is, that b cannot be expressed as a linear combination of the columns of A. (10p) b) Check that F= b- proj A(b) is orthogonal to each column of A (which implies that " is orthogonal to col A). (10p) c) Check that the sum of the projections of b onto the directions given by the columns of A is equal to its projection onto col.A. (20p)