MATH270 McGill University Equations Using Row Reduction Problems Paper All questions on papers (linear equation problems) need to be answered and some of t

MATH270 McGill University Equations Using Row Reduction Problems Paper All questions on papers (linear equation problems) need to be answered and some of them need to have a check to proof that answers are correct.Question 3b is included the numbers that need to be used.( a=2,b=2, c=8, d=3 ).I need the answers in 2 days Max. Due at 1120 on 20190529
2019 Summer I Math 270 Exam 1B Take Home
6 (1b) Solve the following system of equations for w,x, y, and z in R4, by row-
reduction and check by substitution that your solution is correct. Show
the work for row-reduction on the facing side.
2 (i)
(1)
ew + fx + gy + hz = e + f +g+h
(2)
fw + gx + hy + ez = e + f +g+h
(3)
gw + hx + ey + fz = e + f +g+h
(4)
hw + ex + fy + gz = e + f +g+h
Rewrite the problem below using your values of a, b,c, and d.
(1)
(2)
(-)w + (-)x + (-)y + ( Uz = ( ) + ( )+( ) + ( ) = (-2)
(-))w + (-1x + (1)y + (-1z = ( ) + ( )+( )+( ) = (-2)
(3)
(-)w + (x + (-Dy +(z = ( ) + ( + ) + ( )= (-9
(4)
(1)w + (x + EDy + (-Dz = ( ) + ( ) + ( ) + ( )= (-9
Write the answer in:
1 (i) vector-parametric form
1 (ii) flat form
1 (iii) functional form
A:=
F(S) := Im(1)
1 (iv) On the basis of your answer, it follows that the system of equations in (1a)
determines a __-flat in
206
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Due at 1120 on 20190529
2019 Summer I Math 270 Exam 1B Take Home
5 (1c) Write down your answer from (1a) in the form of a set
1(i) presented in parametric form:
F(S)
1(ii) in equational form using the least number of equations necessary:
F(S)
Show work for the following problems on the facing page.
1 (iii) Find, if possible, a point (0-flat): P E F(S) and prove your assertion.
P=
1 (iv) Find, if possible, a 0-flat or point Q E R* such that: Q € F(S) and prove
your assertion.
Q =
1 (v) Find, if possible, a 1-flat F1 SR4, F || F, and prove your assertion.
F1 =
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Due at 1120 on 20190529
2019 Summer I Math 270 Exam 1B Take Home
a=2, b=2, C = 8, d=3
6 (3b) Proof or witness should be on the facing side with complete work.
Y
N P W
20 ap.9 € mtrs (2.2.x)(= 9)
plage =
2.2.2)(-18 12) = 6 a
1 – 1
2 (ii) 3P, Q e Mtrx ( 2,2, R
Y N N Pf
W
Pla Je = 1 I JHL
pla
1 (ii) =P,Q e Mtrx (2,2,0)(P[ ] = lo
69)
Y NPf W
W
Pla de
a
1 (iv) 3M e Mtrx 2,2,R
169
Y N Pf W
Mura(23)(-
– [ 1 ] – ]
M?
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220
220

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