1. [14 points] true-false type questions [2 points each] a. detat (-1)deta. b. a finite set of vectors that contains 0 will be linearly dependent. c. det a 0 if and only if nullity (a) = 0._ d. suppose w is a subspace of a vector product space v and w its orthogonal complement, then wn w = {}. e. if anxm matrix then, ata is an invertible matrix f. if a is an orthogonal matrix of order n then, det (a) t1. g. a square matrix a of order n is diagonalizable if and only if it has n linearly independent eigenvectors

In each bouquet of flowers, there are 2 roses and 3 white carnations. complete the table to find how many roses and carnations there are in 2 bouquets of flowers.

Joel wants to buy a new tablet computer fram a store having a 20% off sale on all tablets. the tablet he wants has an original cost of $190. he also wants to make sure he has enough money to pay the 5% sales tax. part one joel uses the incorect expression 0.95(190)(0.8) to calculate that the tablet will cost him a total of $144.40. describe his error and write the correct expression part two how much will joel pay for the tablet show your work if you answer this question correctly you will receive a prize of 99 points good luck

If private savings 'v' = 0.75s and total savings 's' equals $4.20 billion, solve for public and private savings.