Find bases for Cola, RowA and Nula, for A=) 2 - 2 2 - 2 (4-4-4-4) 3 -3 30
4 -1 -4. 2 2 -4 -1 (1 point) If A = 2 -1 then -3 -2 -1 and B= 4 -3 -4 3A - 4B = and 2AT =
. You are given that 1 -4 4 2 4 -191 -4 00 2 5 2 -8 1 1 4 19 3 -12 5 1 -14 52 0 0 1 0 -3 7 0 0 0 1 -5 2 rref (2-8 1-2 11 | 13 (0 Use this information to give the full parameterized solution to the linear system x-4y-42 + 2u + 4u =-19 4u = 19 2c Sy + χ - 2u + 110 = 13
4 -2- X -4 -2 O 4 Х -2 Which of the following is an equation of line ( in the xv-plane above? A) x- y = - 4 B) x - y = 4 C) x + y = -4 D) x + y = 4
If [-9-8 2 ] is an eigenvector of [[8 -4 2][4 0 2][0 -2 -4]]T, the eigenvalue corresponding to the eigenvector is: Pick one of the choices 0-9
Why is D? How?
e. 4, +4 f. 4, +3 g, 4, +2 h. 2, +4 i. 2, +3 a. 6, +6 c. 6,+3 b. 6,+4d. 6, +2 j. 2, +2
The valence level and valence, respectively, for calcium are? 4 and 2 2 and 4 4 and 4 3 and 2 2 and 2 A 4s-electron in K atom is lower than a 3d-electron due to The shape of the 3d-orbitals The fact that there are five 3d-orbitals A low ionization energy of K Penetration and shielding The relative sizes of 4s-orbitals and 3d-orbitals
10+ 8 6 4 2 10 -8 2 4 6 8 10 -6 -4 -2 -2 -4 -6 -8 -10 Find the y-intercept of the line. Write your answer as a coordinate point. y-intercept=
(1 point) Let 4 4 -4 3 -2 A-14-3-2 4 -2 5 3 5 Give a non-zero vector in the null space of A
(i) Suppose L = {(1, 4, 2, 2),(2, 2, 1, 2),(2, 4, 2, 1)}. Is L linearly independent in R^4 ? Justify your answer. (ii) Suppose S = { 0 0 1 0 , 0 2 3 0 , 4 1 0 0 }. Is S linearly independent in M2(R)? Is span(S) = M2(R)? Justfy your answers.