Homework Answers
make a 4 x 4 matrix with info given. 4,6,0,0....5,9,0,0,.....0,0,2,0..... 0,0,0,2. This is your new matrix. find the determinant of this matrix which is 24. divide this determinant by the one they give you which is 2. 24/2 = 12.
(1 point) If a 4 x 4 matrix A with rows vi , V2 , V3...
(1 point) If a 4 x 4 matrix A with rows vi , V2 , V3 , and V4 has determinant det A = 8, 5v1 +9v4 then det 6v1 6V4
Determinants: 5V1 - 3V2 - 3V3 + V4 = -11 -4V1 + 6V2 + V3 –...
Determinants: 5V1 - 3V2 - 3V3 + V4 = -11 -4V1 + 6V2 + V3 – 3V4 = 8 -2V1 – 2V2 + 7V3 – 4V4 = -9 V1 - 412 - 413 + 8V4 = 13 1. Evaluate the following and show the step-by-step solution. a. Determinant D using expansion by row with the 1st row as reference. b. Determinant D1 using expansion by column with the 2nd column as reference. c. Determinant D2 using alteration by zeros. d....
Let H = Span{V1, V2} and K = Span{V3,V4}, where V1, V2, V3, and V4 are...
Let H = Span{V1, V2} and K = Span{V3,V4}, where V1, V2, V3, and V4 are given below. 1 V1 V2 V4 - 10 7 9 3 -6 Then Hand K are subspaces of R3. In fact, H and K are planes in R3 through the origin, and they intersect in a line through 0. Find a nonzero vector w that generates that line. W= [Hint: w can be written as C1 V2 + c2V2 and also as c3 V3...
For the given four element circuit loop with voltages V1, V2, V3, then the voltage v4...
For the given four element circuit loop with voltages V1, V2, V3, then the voltage v4 is given by: + V₂ V4 = -V1 - V2 - Vz V4 = -V1 + V2 - 13 V4 = V1 + V2 + V3 14 = -V1 + V2 + V3
Let H = Span{V1, V2} and K = Span{V3,V4}, where V1, V2, V3, and V4 are given below.
Let H = Span{V1, V2} and K = Span{V3,V4}, where V1, V2, V3, and V4 are given below. Then H and K are subspaces of R3. In fact, H and K are planes in R3 through the origin, and they intersect in a line through 0. Find a nonzero vector w that generates that line. w= _______
C1=0.1μFandC2=0.1μF solve for V1,V2,V3,V4 V1 R1 1.IK V2 R3 1.7K V3 RS 3.0K R6 5.7K VSI...
C1=0.1μFandC2=0.1μF
solve for V1,V2,V3,V4
V1 R1 1.IK V2 R3 1.7K V3 RS 3.0K R6 5.7K VSI 10 Vpp 1 KHz sine V4. Im1 Im2 Im3 5V C2
please give the correct answer with explanations, thank you Let S {V1, V2, V3, V4, Vs}...
please give the correct answer with explanations, thank you
Let S {V1, V2, V3, V4, Vs} be a set of five vectors in R] Let W-span) When these vectors are placed as columns into a matrix A as A-(V2 V3 r. ws). and Asrow-reduced to echelon form U. we have U - -1 1 013 001 1 state the dimension of W Number 2. State a boss B for W using the standard algorithm, using vectors with a small as...
(1 point) Let H = span {v\,v2, v3, V4}. For each of the following sets of...
(1 point) Let H = span {v\,v2, v3, V4}. For each of the following sets of vectors determine whether H is a line, plane, or R3. Select an Answer 1. -2 -8 -6 28 2 8 6 28 , V3 = ,V4 3 13 10 46 2. Select an Answer 0 2 4 V2 , V3 4 = -3 0 -6 -12 Select an Answer 3. -1 7 -12 0 3 -7 -11 -1 , V2 = , V4 ,...
Consider the following graph. V(G) = {v1, v2, v3, v4}, e(G) = {e1, e2, e3, e4,...
Consider the following graph. V(G) = {v1, v2, v3, v4}, e(G) = {e1, e2, e3, e4, e5}, E(G) = {(e1,[v1,v2]),(e2,[v2,v3]),(e3,[v3,v4]), (e4, (v4,v1)), (e5,[v1,v3])} Draw a picture of the graph on scratch paper to help you answer the following two questions. How many edges are in a spanning tree for graph G? What is the weight of a minimum-weight spanning tree for the graph G if the weight of an edge is defined to be W (ei) L]?
15 points) Consider the following vectors in R3 0 0 2 V1 = 1 ; V2...
15 points) Consider the following vectors in R3 0 0 2 V1 = 1 ; V2 = 3 ; V3 = 1] ; V4 = -1;V5 = 4 1 2 3 = a) Are V1, V2, V3, V4, V5 linearly independent? Explain. b) Let H (V1, V2, V3, V4, V5) be a 3 x 5 matrix, find (i) a basis of N(H) (ii) a basis of R(H) (iii) a basis of C(H) (iv) the rank of H (v) the nullity...
(1 point) If a 4 x 4 matrix A with rows vi , V2 , V3 , and V4 has determinant det A = 8, 5v1 +9v4 then det 6v1 6V4
Determinants: 5V1 - 3V2 - 3V3 + V4 = -11 -4V1 + 6V2 + V3 – 3V4 = 8 -2V1 – 2V2 + 7V3 – 4V4 = -9 V1 - 412 - 413 + 8V4 = 13 1. Evaluate the following and show the step-by-step solution. a. Determinant D using expansion by row with the 1st row as reference. b. Determinant D1 using expansion by column with the 2nd column as reference. c. Determinant D2 using alteration by zeros. d....
Let H = Span{V1, V2} and K = Span{V3,V4}, where V1, V2, V3, and V4 are given below. 1 V1 V2 V4 - 10 7 9 3 -6 Then Hand K are subspaces of R3. In fact, H and K are planes in R3 through the origin, and they intersect in a line through 0. Find a nonzero vector w that generates that line. W= [Hint: w can be written as C1 V2 + c2V2 and also as c3 V3...
For the given four element circuit loop with voltages V1, V2, V3, then the voltage v4 is given by: + V₂ V4 = -V1 - V2 - Vz V4 = -V1 + V2 - 13 V4 = V1 + V2 + V3 14 = -V1 + V2 + V3
C1=0.1μFandC2=0.1μF
solve for V1,V2,V3,V4
V1 R1 1.IK V2 R3 1.7K V3 RS 3.0K R6 5.7K VSI 10 Vpp 1 KHz sine V4. Im1 Im2 Im3 5V C2
please give the correct answer with explanations, thank you
Let S {V1, V2, V3, V4, Vs} be a set of five vectors in R] Let W-span) When these vectors are placed as columns into a matrix A as A-(V2 V3 r. ws). and Asrow-reduced to echelon form U. we have U - -1 1 013 001 1 state the dimension of W Number 2. State a boss B for W using the standard algorithm, using vectors with a small as...
(1 point) Let H = span {v\,v2, v3, V4}. For each of the following sets of vectors determine whether H is a line, plane, or R3. Select an Answer 1. -2 -8 -6 28 2 8 6 28 , V3 = ,V4 3 13 10 46 2. Select an Answer 0 2 4 V2 , V3 4 = -3 0 -6 -12 Select an Answer 3. -1 7 -12 0 3 -7 -11 -1 , V2 = , V4 ,...
Consider the following graph. V(G) = {v1, v2, v3, v4}, e(G) = {e1, e2, e3, e4, e5}, E(G) = {(e1,[v1,v2]),(e2,[v2,v3]),(e3,[v3,v4]), (e4, (v4,v1)), (e5,[v1,v3])} Draw a picture of the graph on scratch paper to help you answer the following two questions. How many edges are in a spanning tree for graph G? What is the weight of a minimum-weight spanning tree for the graph G if the weight of an edge is defined to be W (ei) L]?
15 points) Consider the following vectors in R3 0 0 2 V1 = 1 ; V2 = 3 ; V3 = 1] ; V4 = -1;V5 = 4 1 2 3 = a) Are V1, V2, V3, V4, V5 linearly independent? Explain. b) Let H (V1, V2, V3, V4, V5) be a 3 x 5 matrix, find (i) a basis of N(H) (ii) a basis of R(H) (iii) a basis of C(H) (iv) the rank of H (v) the nullity...
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