(1 point) a is an n×n matrix. check the true statements below: a. a number c is an eigenvalue of a if and only if the equation (a−ci)x=0 has a nontrivial solution x. b. finding an eigenvector of a might be difficult, but checking whether a given vector is in fact an eigenvector is easy. c. a matrix a is not invertible if and only if 0 is an eigenvalue of a. d. to find the eigenvalues of a, reduce a to echelon form. e. if ax=λx for some vector x, then λ is an eigenvalue of a.

Describe the symmetry of the figure. identify lines of symmetry, if any. find the angle and the order of any rotational symmetry.

How to write 3 tenths and 5 tenths as a decimal

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)