Suppose g: P → Q and f: Q → R where P = {1, 2, 3,...
Suppose g: P → Q and f: Q → R where P = {1, 2, 3, 4},
Q = {a, b, c}, R = {2, 7, 10}, and f and g are defined by
f = {(a, 10), (b, 7), (c, 2)} and g = {(1, b), (2, a), (3, a), (4,
b)}.
(a) Is Function f and g invertible? If yes find f −1
and g −1 or if not why?
(b) Find f o g and g o...
1. Given the point P(5, 4, −2) and the point Q(−1, 2, 7) and
R(0, 3,...
1. Given the point P(5, 4, −2) and the point Q(−1, 2, 7) and
R(0, 3, 0) answer the following questions • What is the distance
between P and Q? • Determine the vectors P Q~ and P R~ ? • Find the
dot product between P Q~ and P R~ . • What is the angle between P
Q~ and P R~ ? • What is the projP R~ (P R~ )? • What is P Q~
Let p = (8, 10, 3, 11, 4, 0, 5, 1, 6, 2, 7, 9) and...
Let p = (8, 10, 3, 11, 4, 0, 5, 1, 6, 2, 7, 9) and let q = (2,
4, 9, 5, 10, 6, 11, 7, 0, 8, 1, 3) be tone rows. Verify that p =
Tk(R(I(q))) for some k, and find this value of k.
Let B = {(1, 3), (?2, ?2)} and B' = {(?12, 0), (?4, 4)} be bases...
Let B = {(1, 3), (?2, ?2)} and B' = {(?12, 0), (?4, 4)} be bases
for R2, and
let A =
3
2
0
4
be the matrix for T: R2 ? R2 relative to B.
(a) Find the transition matrix P from B' to B. P =
(b) Use the matrices P and A to find [v]B and [T(v)]B, where
[v]B' = [1 ?5]T. [v]B = [T(v)]B =
(c) Find P?1 and A' (the matrix for T relative...
Given that A to Z are mapped to integers 0-25 as follows.
A:0, B:1, C:2, D:3,...
Given that A to Z are mapped to integers 0-25 as follows.
A:0, B:1, C:2, D:3, E:4, F:5, G:6, H:7, I: 8, J: 9, K:10, L:11,
M:12, N:13, O:14, P:15, Q:16, R:17, S:18, T:19, U:20, V:21, W:22,
X:23, Y:24, Z:25.
Encrypt the following message using Vigenere Cipher with key:
CIPHER
THISQUIZISEASY
What is the ciphertext? Show your work.
PLEASE HELP
Identify whether the following are true or false. (a) 5 ∈ {1, 2,
{3, 4}, {1},...
Identify whether the following are true or false. (a) 5 ∈ {1, 2,
{3, 4}, {1}, {5}} (b) {5} ∈ {1, {2}, {3, 4}, 5, {5}} (c) {5} ⊆ {1,
{2}, {3, 4}, 5, {5}} (d) {3, 4} ⊆ {1, 2, {3, 4}, {1}, {5}} (e) {1,
2} ⊆ {1, 2, {3, 4}, {1}, {5}} (f) {5} ∈ P(N) (g) {5} ⊆ P(N) (h)
{{5}} ∈ P(N) (i) ∅ ⊆ P(R) (j) ∅ ∈ P(R)
Find the area of the parallelogram PQRS with vertices P(1, 1,
0), Q(7, 1, 0), R(9,...
Find the area of the parallelogram PQRS with vertices P(1, 1,
0), Q(7, 1, 0), R(9, 4, 2), and S(3, 4, 2).