Homework Answers
Solved using basic properties of Dot products, Projections and Norms.
Question 10 (1 point) If ū = (-4,-2) and W= (-6,-12), find 2ū + aw 0...
Question 10 (1 point) If ū = (-4,-2) and W= (-6,-12), find 2ū + aw 0 (-10,-16) O(-10,-14) (-14,-6) O(-9,-14) O 1-9,-6) (-14,-16)
[4] Convert z = -10 and w = -13 + i tor cis O form and...
[4] Convert z = -10 and w = -13 + i tor cis O form and then find zw. 2, and w*. Leave answers in r cis form. Sketches have been provided on the scratchwork page. W ZW= z W W [5] Find zw, 2, and wgiven w = - 12 - i 2 and 2 = - 8i . Leave answers in r cis @ form. Sketches have been provided on the scratchwork page. W ZW= Z II w...
1. Let {ü, 7,w, i}, where u = (3,-2), v = (0,4), ū = (-1,5) and...
1. Let {ü, 7,w, i}, where u = (3,-2), v = (0,4), ū = (-1,5) and i = (-6,4). Find the components of the resultants obtained by doing the following linear combinations. a. r = 2ū - 40 b. š= 3ū – +20 +
Problem 2 ( 50 points) You are given functions x(t) = u(t)-ut-1/2) and y(t) = e(ult)...
Problem 2 ( 50 points) You are given functions x(t) = u(t)-ut-1/2) and y(t) = e(ult) -uſt-1)). 1. Sketch a(t) and y(t). (10 points) 2. Use time-domain integration to find the convolution z(t) = x(6) *y(t). (20 points) 3. Find Zw) using any method of your choice (20 points)
Consider the subspaces U=span{[4 −2 −2],[10 1− 4]} and W=span{[3 −4 −1],[10 2 −2]}.Find a matrix X∈V such that U∩W=span{W}.
Consider the subspaces U=span{[4 −2 −2],[10 1− 4]} and W=span{[3 −4 −1],[10 2 −2]}.Find a matrix X∈V such that U∩W=span{W}.
linear algebra Problems 1. Let A= 3 3 0 5 2 2 0 -2 4 1...
linear algebra
Problems 1. Let A= 3 3 0 5 2 2 0 -2 4 1 -3 0 2 10 3 2 (a) Identify the (1,4)-minor A14 (b) Find the (3,2)-cofactor C32.
Im In F 1 1 Re -6 -5 -4 -3 -2 -1 -it N 3 4...
Im In F 1 1 Re -6 -5 -4 -3 -2 -1 -it N 3 4 5 6 LL -6 -5 -4 -3 -2 Im Im ih -6-5-4-3-2 2 -it 5 Re 6 -6 -5 -4 -3 -1 -il Find the modulus r. o Graph the complex number. 2 + Si Im Im iF Re -6 -5 -4 -3 -2 -1 -i 1 2. 3 4 5 6 -6-5-4-3 -2 -1 -F 1 2 3 Im Im -6-5-4-3-2-1 - 1...
Consider the following. у 6 FO, 5) 4 (1,4) 3 (1, 2) .(2, 1) - 1...
Consider the following. у 6 FO, 5) 4 (1,4) 3 (1, 2) .(2, 1) - 1 2 3 (a) Sketch the line that appears to be the best fit for the given points. у 6 6 (0,5) (0.5) (1, 4) *(1,4) 3 3 2(1, 2) 2/(1, 2) (2, 1) (2, 1) 1 2 3 2 No, 5) (0,5) (1, 4) (1,4) 3 3 21, 2) 2(1, 2) 1(2, 1) (2, 1) 1 - 1 1 2 3 -1 2 -14...
1 (0) Suposo = ( ).*-[0–, ]md = [ i ] Pad z and such that...
1 (0) Suposo = ( ).*-[0–, ]md = [ i ] Pad z and such that 27-+= . (4) Suppose ū= W = | and W = . Find x and y such that 2ū–37+5W = 7. 6 – Y (5) Justify your answers: (i) Is a linear combination of mbination of 1 ] and [ : 12 and | 1 [ 3 47 0 ? (ii) Is 2 a linear combination of -1 and | 1 0
3) [10 pts.] Find the Fourier transform of x(t) = cos(4t)[u(t +4) – ut - 4)]...
3) [10 pts.] Find the Fourier transform of x(t) = cos(4t)[u(t +4) – ut - 4)] Using only the Fourier the transform table and properties
Question 10 (1 point) If ū = (-4,-2) and W= (-6,-12), find 2ū + aw 0 (-10,-16) O(-10,-14) (-14,-6) O(-9,-14) O 1-9,-6) (-14,-16)
[4] Convert z = -10 and w = -13 + i tor cis O form and then find zw. 2, and w*. Leave answers in r cis form. Sketches have been provided on the scratchwork page. W ZW= z W W [5] Find zw, 2, and wgiven w = - 12 - i 2 and 2 = - 8i . Leave answers in r cis @ form. Sketches have been provided on the scratchwork page. W ZW= Z II w...
1. Let {ü, 7,w, i}, where u = (3,-2), v = (0,4), ū = (-1,5) and i = (-6,4). Find the components of the resultants obtained by doing the following linear combinations. a. r = 2ū - 40 b. š= 3ū – +20 +
Problem 2 ( 50 points) You are given functions x(t) = u(t)-ut-1/2) and y(t) = e(ult) -uſt-1)). 1. Sketch a(t) and y(t). (10 points) 2. Use time-domain integration to find the convolution z(t) = x(6) *y(t). (20 points) 3. Find Zw) using any method of your choice (20 points)
linear algebra
Problems 1. Let A= 3 3 0 5 2 2 0 -2 4 1 -3 0 2 10 3 2 (a) Identify the (1,4)-minor A14 (b) Find the (3,2)-cofactor C32.
Im In F 1 1 Re -6 -5 -4 -3 -2 -1 -it N 3 4 5 6 LL -6 -5 -4 -3 -2 Im Im ih -6-5-4-3-2 2 -it 5 Re 6 -6 -5 -4 -3 -1 -il Find the modulus r. o Graph the complex number. 2 + Si Im Im iF Re -6 -5 -4 -3 -2 -1 -i 1 2. 3 4 5 6 -6-5-4-3 -2 -1 -F 1 2 3 Im Im -6-5-4-3-2-1 - 1...
Consider the following. у 6 FO, 5) 4 (1,4) 3 (1, 2) .(2, 1) - 1 2 3 (a) Sketch the line that appears to be the best fit for the given points. у 6 6 (0,5) (0.5) (1, 4) *(1,4) 3 3 2(1, 2) 2/(1, 2) (2, 1) (2, 1) 1 2 3 2 No, 5) (0,5) (1, 4) (1,4) 3 3 21, 2) 2(1, 2) 1(2, 1) (2, 1) 1 - 1 1 2 3 -1 2 -14...
1 (0) Suposo = ( ).*-[0–, ]md = [ i ] Pad z and such that 27-+= . (4) Suppose ū= W = | and W = . Find x and y such that 2ū–37+5W = 7. 6 – Y (5) Justify your answers: (i) Is a linear combination of mbination of 1 ] and [ : 12 and | 1 [ 3 47 0 ? (ii) Is 2 a linear combination of -1 and | 1 0
3) [10 pts.] Find the Fourier transform of x(t) = cos(4t)[u(t +4) – ut - 4)] Using only the Fourier the transform table and properties
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