In this question, consider the vectors 3 and b = where b, c, e, f E IR are unspecified constants. Consider the following vector equation "1V1 + 2v2 + 3V3 = b in unknowns $1, $2, 13. (a) Without rearranging or simplifying, the equation (*) above immediately corresponds to an augmented matrix (A|b), where the coefficient matrix A is A = Syntax advice: Remember to use correct Maple syntax to input your matrix. 2 3 For example, if you have the matrix A = a b C , then you can input either d e f , , > or || (b) Suppose we are given that the solution to (*) is unique. Then the vector equation 1 *1 V1 + 2V2+ 13 V3 = 8 + b has Click for List since the row echelon form U for A [Select all that apply] O has all its columns leading. O has a non-leading column. O has a single leading column. O has a row of zeros. O is a square matrix. (c) Suppose we are instead given that (*) has infinitely many solutions. Then the vector equation 3 10 +x2 (" )res ( . ", ) - ( .; ) has Click for List In words, briefly justify your answer in the box below. no solutions Es following essay boxes, there is no need to use correct Maple syntax or the equation ed infinitely many solutions re clear enough for a reader. You may write, e.g.: a unique solution A two solutions b. b) to denote the augmented matrix (A|b)(d) Finally, suppose that there are no solutions to (*). Then the vector equation 1V1+ 2V2 + 3V3 =0 has Click for List In words, briefly justify your answer in the box below. 2s Equation A - A- I BIUSX X Editor Styles Font Size Words: 0