Consider the matrix 03) (C) (d) 1 2 A = 1 1 1 1 Find all the left inverses of the matrix A. For each b E R3, use part (a) to nd all possible solutions to the equation An: = b. In each case, comment on the number of solutions you have found. Find all of the projections onto R(A) that can be found using part (a). Hence find the orthogonal projection onto R(A). Does your answerto part (0) give all of the possible projections onto R(A)? Justify your