Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. 8 −2 −4 1 (a) the characteristic equation (λ−9)λ=0 (b) the eigenvalues (enter your answers from smallest to largest.) (λ1, λ2) = 0,9 the corresponding eigenvectors x1 = 2,1 x2 = 1,−4

Show me how you find the value of each variable and determine what the value of each variable is you i appreciate it : )

Which set of reflections would carry trapezoid abcd onto itself? a) x-axis, y=x, y-axis, x-axis b) x-axis, y-axis, x-axis c) y=x, x-axis, x-axis d) y-axis, x-axis, y-axis, x-axis

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.