Pearson eText for College Mathematics for Trades and Technologies -- Instant Access (Pearson+)
10th Edition
ISBN: 9780137400010
Author: Cheryl Cleaves, Margie Hobbs
Publisher: PEARSON+
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Question
Chapter D, Problem 23RE
To determine
The area and circumference of the circle.
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1) a) Find a matrix P such that PT AP orthogonally diagonalizes the following matrix
A.
= [{² 1]
A =
b) Verify that PT AP gives the correct diagonal form.
2
01
-2
3
2) Given the following matrices A =
-1
0
1] an
and B =
0
1
-3
2
find the following matrices:
a) (AB) b) (BA)T
3) Find the inverse of the following matrix A using Gauss-Jordan elimination or
adjoint of the matrix and check the correctness of your answer (Hint: AA¯¹ = I).
[1 1 1
A = 3 5 4
L3 6 5
4) Solve the following system of linear equations using any one of Cramer's Rule,
Gaussian Elimination, Gauss-Jordan Elimination or Inverse Matrix methods and
check the correctness of your answer.
4x-y-z=1
2x + 2y + 3z = 10
5x-2y-2z = -1
5) a) Describe the zero vector and the additive inverse of a vector in the vector
space, M3,3.
b) Determine if the following set S is a subspace of M3,3 with the standard
operations. Show all appropriate supporting work.
13) Let U = {j, k, l, m, n, o, p} be the universal set. Let V = {m, o,p), W = {l,o, k}, and X = {j,k). List the elements of
the following sets and the cardinal number of each set.
a) W° and n(W)
b) (VUW) and n((V U W)')
c) VUWUX and n(V U W UX)
d) vnWnX and n(V WnX)
9) Use the Venn Diagram given below to determine the number elements in each of the following sets.
a) n(A).
b) n(A° UBC).
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Chapter D Solutions
Pearson eText for College Mathematics for Trades and Technologies -- Instant Access (Pearson+)
Ch. D.1 - Prob. 1ECh. D.1 - Prob. 2ECh. D.1 - Prob. 3ECh. D.1 - Prob. 4ECh. D.1 - Prob. 5ECh. D.1 - Prob. 6ECh. D.1 - Prob. 7ECh. D.1 - Prob. 8ECh. D.1 - Prob. 9ECh. D.1 - Prob. 10E
Ch. D.1 - Prob. 11ECh. D.1 - Prob. 12ECh. D.1 - Prob. 13ECh. D.1 - Prob. 14ECh. D.1 - Prob. 15ECh. D.1 - Prob. 16ECh. D.1 - Prob. 17ECh. D.1 - Prob. 18ECh. D.1 - Prob. 19ECh. D.1 - Prob. 20ECh. D.1 - Prob. 21ECh. D.1 - Prob. 22ECh. D.1 - Prob. 23ECh. D.1 - Prob. 24ECh. D.1 - Prob. 25ECh. D.1 - Prob. 26ECh. D.2 - Prob. 1ECh. D.2 - Prob. 2ECh. D.2 - Prob. 3ECh. D.2 - Prob. 4ECh. D.2 - Prob. 5ECh. D.2 - Prob. 6ECh. D.2 - Prob. 7ECh. D.2 - Prob. 8ECh. D.2 - Prob. 9ECh. D.2 - Prob. 10ECh. D.2 - Prob. 11ECh. D.2 - Prob. 12ECh. D.2 - Prob. 13ECh. D.2 - Prob. 14ECh. D.2 - Prob. 15ECh. D.3 - Prob. 1ECh. D.3 - Prob. 2ECh. D.3 - Prob. 3ECh. D.3 - Prob. 4ECh. D.3 - Prob. 5ECh. D.3 - Prob. 6ECh. D.3 - Prob. 7ECh. D.3 - Prob. 8ECh. D.3 - Prob. 9ECh. D.3 - Prob. 10ECh. D.3 - Prob. 11ECh. D.3 - Prob. 12ECh. D.3 - Prob. 13ECh. D.3 - Prob. 14ECh. D.4 - Find the center, the vertices, the foci, and the...Ch. D.4 - Prob. 2ECh. D.4 - Prob. 3ECh. D.4 - Prob. 4ECh. D.4 - Prob. 5ECh. D.4 - Prob. 6ECh. D.4 - Prob. 7ECh. D.4 - Prob. 8ECh. D.4 - Prob. 9ECh. D.4 - Prob. 10ECh. D - Prob. 1RECh. D - Prob. 2RECh. D - Prob. 3RECh. D - Prob. 4RECh. D - Prob. 5RECh. D - Prob. 6RECh. D - Prob. 7RECh. D - Prob. 8RECh. D - Prob. 9RECh. D - Prob. 10RECh. D - Prob. 11RECh. D - Prob. 12RECh. D - Prob. 13RECh. D - Prob. 14RECh. D - Prob. 15RECh. D - Prob. 16RECh. D - Prob. 17RECh. D - Prob. 18RECh. D - Prob. 19RECh. D - Prob. 20RECh. D - Prob. 21RECh. D - Prob. 22RECh. D - Prob. 23RECh. D - Prob. 24RECh. D - Prob. 25RECh. D - Prob. 26RECh. D - Prob. 27RECh. D - Prob. 28RECh. D - Prob. 29RECh. D - Prob. 30RECh. D - Prob. 31RECh. D - Prob. 32RECh. D - Prob. 33RECh. D - Prob. 1PTCh. D - Prob. 2PTCh. D - Prob. 3PTCh. D - Prob. 4PTCh. D - Prob. 5PTCh. D - Prob. 6PTCh. D - Prob. 7PTCh. D - Prob. 8PTCh. D - Prob. 9PTCh. D - Prob. 10PTCh. D - Prob. 11PTCh. D - Prob. 12PTCh. D - Prob. 13PTCh. D - Prob. 14PTCh. D - Prob. 15PTCh. D - Prob. 16PTCh. D - Prob. 17PTCh. D - Prob. 18PTCh. D - Prob. 19PTCh. D - Prob. 20PTCh. D - Prob. 21PTCh. D - Prob. 22PTCh. D - Prob. 23PTCh. D - Prob. 24PTCh. D - Prob. 25PTCh. D - Prob. 26PT
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Similar questions
- 10) Find n(K) given that n(T) = 7,n(KT) = 5,n(KUT) = 13.arrow_forward7) Use the Venn Diagram below to determine the sets A, B, and U. A = B = U = Blue Orange white Yellow Black Pink Purple green Grey brown Uarrow_forward8. For x>_1, the continuous function g is decreasing and positive. A portion of the graph of g is shown above. For n>_1, the nth term of the series summation from n=1 to infinity a_n is defined by a_n=g(n). If intergral 1 to infinity g(x)dx converges to 8, which of the following could be true? A) summation n=1 to infinity a_n = 6. B) summation n=1 to infinity a_n =8. C) summation n=1 to infinity a_n = 10. D) summation n=1 to infinity a_n diverges.arrow_forward
- 1) Use the roster method to list the elements of the set consisting of: a) All positive multiples of 3 that are less than 20. b) Nothing (An empty set).arrow_forward2) Let M = {all postive integers), N = {0,1,2,3... 100), 0= {100,200,300,400,500). Determine if the following statements are true or false and explain your reasoning. a) NCM b) 0 C M c) O and N have at least one element in common d) O≤ N e) o≤o 1arrow_forward4) Which of the following universal sets has W = {12,79, 44, 18) as a subset? Choose one. a) T = {12,9,76,333, 44, 99, 1000, 2} b) V = {44,76, 12, 99, 18,900,79,2} c) Y = {76,90, 800, 44, 99, 55, 22} d) x = {79,66,71, 4, 18, 22,99,2}arrow_forward
- 3) What is the universal set that contains all possible integers from 1 to 8 inclusive? Choose one. a) A = {1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, 5.5, 6, 6.5, 7, 7.5, 8} b) B={-1,0,1,2,3,4,5,6,7,8} c) C={1,2,3,4,5,6,7,8} d) D = {0,1,2,3,4,5,6,7,8}arrow_forwardA smallish urn contains 25 small plastic bunnies – 7 of which are pink and 18 of which are white. 10 bunnies are drawn from the urn at random with replacement, and X is the number of pink bunnies that are drawn. (a) P(X = 5) ≈ (b) P(X<6) ≈ The Whoville small urn contains 100 marbles – 60 blue and 40 orange. The Grinch sneaks in one night and grabs a simple random sample (without replacement) of 15 marbles. (a) The probability that the Grinch gets exactly 6 blue marbles is [ Select ] ["≈ 0.054", "≈ 0.043", "≈ 0.061"] . (b) The probability that the Grinch gets at least 7 blue marbles is [ Select ] ["≈ 0.922", "≈ 0.905", "≈ 0.893"] . (c) The probability that the Grinch gets between 8 and 12 blue marbles (inclusive) is [ Select ] ["≈ 0.801", "≈ 0.760", "≈ 0.786"] . The Whoville small urn contains 100 marbles – 60 blue and 40 orange. The Grinch sneaks in one night and grabs a simple random sample (without replacement) of 15 marbles. (a)…arrow_forwardUsing Karnaugh maps and Gray coding, reduce the following circuit represented as a table and write the final circuit in simplest form (first in terms of number of gates then in terms of fan-in of those gates).arrow_forward
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