[ 1 -1 3 -3 5 2 ] A=[ 1 -1 4 -1 9 -4 ]...

[ 1 -1 3 -3 5 2 ]

A=[ 1 -1 4 -1 9 -4 ]

[ -1 1 -3 3 -4 8 ]

[7]

b=[5]

[4]

use the row reduction algorithm to solve the following

Describe the solution set of Ax=b in parametric vector form

describe the solution set of Ax=0 as Span[ V1,V2,....,Vp]

Expert Solution

Colby Messinger answered 2 years ago

tens Units 1 5 2 3 4 8 5 2 5 6 9 6 1 3...

tens Units 1 5 2 3 4 8 5 2 5 6 9 6 1 3 5 4 7 9 7 0 0 4 5 6 9 9 8 1 3 5 6 8 9 9 0 1 2 3 5 9 The table represent a random sample of 31 test scores taken from a large lecture class. Find the following [round to 2 decimal points X. XX] a) [2 pts] Find the 5 number summary [L, Q1, Q2, Q3,...

Matrix A2= [1 2 3; 4 5 6; 7 8 9; 3 2 4; 6 5...

Matrix A2= [1 2 3; 4 5 6; 7 8 9; 3 2 4; 6 5 4; 9 8 7] Note: TA2 is defined to be a linear transformation that maps any vector x to A2* x. That is TA2 = A2*x. Also the range of the Linear transformation represented by A2 is the same as the column space of A2. l) Find a basis for the null(TA2). m) Find nullity of A2, TA2 and A2tA2. n) Find rank(A2), rank(A2t),...

a = [4, −9, 4] b = [7, 2, 3] c = [5, −8, 9] d...

a = [4, −9, 4] b = [7, 2, 3] c = [5, −8, 9] d = [1, −3, 2] e = [6, −2, −5, 9] f = [4, −3, 7, 5] g = [1, 3, −1, 5] h = [7, −5, 5] i = [5, 13, −7, 11] Express the hyperplane implicitly or explicitly given the following a) a and h b) f and i c) e, f, and g d) The hyperplane containing b, c and d can...

hours studied X^2 score on quiz Y^2 XY 1 1 3 9 3 2 4 5...

hours studied X^2 score on quiz Y^2 XY 1 1 3 9 3 2 4 5 25 10 3 9 7 49 21 5 25 9 81 45 sigmaX=11 sigmaX^2=39 sigmaY=24 sigmaY^2=164 sigmaXY=79 part a: 1.what is the predictor variable? 2. what is the criterion variable? compute the Pearson correlation. 3. what is the covariance. 4 what is the standard deviation of the predictor variable. 5 what is the standard deviation of the criterion variable. 6 what is the...

4. (a) Suppose that τσ=(1 5 2 3)(4) and στ=(1 2 4 5)(3) in S5. If...

4. (a) Suppose that τσ=(1 5 2 3)(4) and στ=(1 2 4 5)(3) in S5. If σ1 = 2, find σ and τ. (b) In Sn, show that σ = τ if and only if σ(τ)^(−1) = ε. ε is the identity permutation. Must be written as a proof. (c) Let σ=(1 2 3) and τ=(1 2) in S3. Show that S3={ε,σ,σ^2,τ,τσ,τ(σ)^2} and that σ^3=ε=τ^2 and στ=τ(σ)^2, then fill out the multiplication table for S3.

4. [22 pts] For the function ?(?) = 2?5 − 9?4 + 12?3 − 12?2 +...

4. [22 pts] For the function ?(?) = 2?5 − 9?4 + 12?3 − 12?2 + 10? − 3 answer the following: a. [2 pts] Determine whether the function represents a polynomial. Justify your answer. b. [4 pts] Determine whether the function satisfies the Intermediate Value Theorem on the interval [0, 5]. Justify your answer. c. [2 pts] Determine the number (quantity) of complex zeros that the function has, provided the each zero is counted by its multiplicity. d. [4...

x 2 8 5 9 4 3 9 6 7 8 y 3 6 5 7...

x 2 8 5 9 4 3 9 6 7 8 y 3 6 5 7 9 7 4 6 9 9 -5.48x + 0.17 5.48x + 0.17 -0.17x + 5.48 0.17x + 5.48

coffee tea juice 3 4 5 5 4 3 4 4 4 5 1 2 4...

coffee tea juice 3 4 5 5 4 3 4 4 4 5 1 2 4 2 2 Do a One-way ANOVA by hand (at least once in your life!) …Is there a difference in attention for those who drink coffee, tea, or juice during an 8 a.m. class? Utilize the five steps of hypothesis testing to analyze the following data (p<.01). Attention Ratings (1=no attention- 5=full attention)

Find the distances: A) Between ?1=〈2+2?,−1+?,−3?〉and ?2=〈4,−5−3?,1+4?〉 . B) Between the planes 2?−?+5?=0 and 2?−?+5?=5 ....

Find the distances: A) Between ?1=〈2+2?,−1+?,−3?〉and ?2=〈4,−5−3?,1+4?〉 . B) Between the planes 2?−?+5?=0 and 2?−?+5?=5 . C) From the point (1,2,3) to the line ?=〈−?,4−?,1+4?〉 .

5 + (3 * 4)^2 - 2 = 147 (5 + 3) * 4^2 -...

5 + (3 * 4)^2 - 2 = 147 (5 + 3) * 4^2 - 2 = 126 (5 + 3 )* (4^2 – 2) = 112 5 + (3 * 4^2) - 2 = 51 Which is the correct answer to using the "order of precedence" and why?

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