Suppose we have a linear transformation x? ax where [1 3 9 2 a= 1 0 3 4 0 1 2 3 2 3 0 5] ( a is matrix form 4 by 4) a. find all x? r4 with ax = 0 (if any). give your solution in parameterized form. b. determine if y= [3 3 1 2] y is in the range of a. c. do the columns of a span r4 ? how do you know?
Acoin bank containing only dimes and quarters has 12 more dimes than quarters. the total value of the coins is $11. how many quarters and dimes are in the coin bank?
Ze trinomial x2 + bx – c has factors of (x + m)(x – n), where m, n, and b are positive. what is ze relationship between the values of m and n? explain how you got ze answer