Suppose the matrices a, b, and c are square, but not necessarily of the same size. the n x n matrix ? 1) () 0 0 c solve such applications. is an example of a block diagonal matrix. bloc that make them useful both in applications in the sciences and in writing software that people (a) (4 points) assuming that d is invertible, find a formula for d-1 (in terms of a, b, and c, of course) and convince me that you have the right formula. (you're going to have to make one or more assumptions about a, b, and c. that's ok.) b) (1 point) in the previous part of this item, what assumption(s) did you make about a, b, and c?

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.

Find │–14│ a. 14 b. –14 c. start fraction 1 over 14 end fraction

Johnny rode his bike to a friends house 4 blocks down the street in his neighborhood. he immediately rode back home once he realized his friend was unable to play. what was his displacement for the total bike ride trip? what could you use as a reference point ? show the steps to solve this problem.