Homework Answers
Page 8 of 9 HW-04 Problem No. 4.7 /10 pts 6 2 k For what value(s) of k is y in the plane spanned by vi and v? Show...
Page 8 of 9 HW-04 Problem No. 4.7 /10 pts 6 2 k For what value(s) of k is y in the plane spanned by vi and v? Show all your work, do not skip steps Displaying only the answer is not enough to get credit Solution (Show all intermediate steps, formulas, calculations, explanations and comments below this line. Don't write above this line) 2 k -3 - 1 4 1 K
Page 8 of 9 HW-04 Problem No. 4.7...
Question 2. (15 pts) Let vi= (-3 0 6)", V2= (-2 2 317, V3= [0 -...
Question 2. (15 pts) Let vi= (-3 0 6)", V2= (-2 2 317, V3= [0 - 6 3)", and w=(1 14 9) (1). Determine if w is in the subspace spanned by va, V2, V3. (2). Are the vectors V1, V2, V3 linearly dependent or independent? Justify your answer.
Question 2. (15 pts) Let Vi= (-3 0 6)", v2= (-2 2 3)", V3= [0 -...
Question 2. (15 pts) Let Vi= (-3 0 6)", v2= (-2 2 3)", V3= [0 - 6 3)", and w= [1 14 9)? (1). Determine if w is in the subspace spanned by V1, V2, V3. (2). Are the vectors Vi, V2, V3 linearly dependent or independent? Justify your answer.
Problem No. 3.6 /10 pts 4 1l 2 1 A 4 10 1 1 4 2...
Problem No. 3.6 /10 pts 4 1l 2 1 A 4 10 1 1 4 2 2 Find A if it exists Show all your work, do not skip steps. Displaying only the final answer is not enough to get credit
Problem No. 1.4 / 10 pts. Solve the given system using elementary row operation Do not use matrices Show all your work, do not skip steps. Displaying only final answer is not enough to get credit...
Problem No. 1.4 / 10 pts. Solve the given system using elementary row operation Do not use matrices Show all your work, do not skip steps. Displaying only final answer is not enough to get credit.
Problem No. 1.4 / 10 pts. Solve the given system using elementary row operation Do not use matrices Show all your work, do not skip steps. Displaying only final answer is not enough to get credit.
1) Determine if w is in the subspace spanned by v1, v2, v3 2) Are the...
1) Determine if w is in the subspace spanned by v1, v2,
v3
2) Are the vectors v1, v2, v3 linearly dependent or
independent? justify your answer
Question 2. (15 pts) Let vi=(-3 0 6)", v2= (-2 2 3]", V3= (0 - 6 37, and w= [1 11 9". (1). Determine if w is in the subspace spanned by V1, V2, V3. (2). Are the vectors V1, V2, V3 linearly dependent or independent? Justify your answer
Can I get help with questions 2,3,4,6? be the (2) Determine if the following sequences of vectors vi, V2, V3 are linear...
Can I get help with questions 2,3,4,6?
be the (2) Determine if the following sequences of vectors vi, V2, V3 are linearly de- pendent or linearly independent (a) ces of V 0 0 V1= V2 = V3 = w. It (b) contains @0 (S) V1= Vo= Va (c) inations (CE) n m. -2 VI = V2= V3 (3) Consider the vectors 6) () Vo = V3 = in R2. Compute scalars ,2, E3 not all 0 such that I1V1+2V2 +r3V3...
/ 10 pts. Problem No. 2.6 1 + 2 x2 + 4 = + 2x2 +...
/ 10 pts. Problem No. 2.6 1 + 2 x2 + 4 = + 2x2 + 2 x3 = 1 | x1 +2 x2 + 3x3 = -6 Solve the system of linear equations by modifying it to REF and to RREF using elementary equivalent operations. Show REF and RREF of the system. Matrices may not be used. Show all your work, do not skip steps. Displaying only the final answer is not enough to get credit.
37 Let vi = 0 , V2 = 1, and V3 = 2 . These 3...
37 Let vi = 0 , V2 = 1, and V3 = 2 . These 3 vectors are linearly -1] dependent. Fill in the blanks for c2 and C3 so that the following is a linear dependence relation: Vi + C2 V2 + c3 V3 = 0.
Problem 9 Suppose that (vi, v2, v3) is a set of vectors from a vector space...
Problem 9 Suppose that (vi, v2, v3) is a set of vectors from a vector space V. Prove that the set (vi-V2-V2-V3, U3-U1} ?s a linearly dependent subset of V
Page 8 of 9 HW-04 Problem No. 4.7 /10 pts 6 2 k For what value(s) of k is y in the plane spanned by vi and v? Show all your work, do not skip steps Displaying only the answer is not enough to get credit Solution (Show all intermediate steps, formulas, calculations, explanations and comments below this line. Don't write above this line) 2 k -3 - 1 4 1 K
Page 8 of 9 HW-04 Problem No. 4.7...
Question 2. (15 pts) Let vi= (-3 0 6)", V2= (-2 2 317, V3= [0 - 6 3)", and w=(1 14 9) (1). Determine if w is in the subspace spanned by va, V2, V3. (2). Are the vectors V1, V2, V3 linearly dependent or independent? Justify your answer.
Question 2. (15 pts) Let Vi= (-3 0 6)", v2= (-2 2 3)", V3= [0 - 6 3)", and w= [1 14 9)? (1). Determine if w is in the subspace spanned by V1, V2, V3. (2). Are the vectors Vi, V2, V3 linearly dependent or independent? Justify your answer.
Problem No. 3.6 /10 pts 4 1l 2 1 A 4 10 1 1 4 2 2 Find A if it exists Show all your work, do not skip steps. Displaying only the final answer is not enough to get credit
Problem No. 1.4 / 10 pts. Solve the given system using elementary row operation Do not use matrices Show all your work, do not skip steps. Displaying only final answer is not enough to get credit.
Problem No. 1.4 / 10 pts. Solve the given system using elementary row operation Do not use matrices Show all your work, do not skip steps. Displaying only final answer is not enough to get credit.
1) Determine if w is in the subspace spanned by v1, v2,
v3
2) Are the vectors v1, v2, v3 linearly dependent or
independent? justify your answer
Question 2. (15 pts) Let vi=(-3 0 6)", v2= (-2 2 3]", V3= (0 - 6 37, and w= [1 11 9". (1). Determine if w is in the subspace spanned by V1, V2, V3. (2). Are the vectors V1, V2, V3 linearly dependent or independent? Justify your answer
Can I get help with questions 2,3,4,6?
be the (2) Determine if the following sequences of vectors vi, V2, V3 are linearly de- pendent or linearly independent (a) ces of V 0 0 V1= V2 = V3 = w. It (b) contains @0 (S) V1= Vo= Va (c) inations (CE) n m. -2 VI = V2= V3 (3) Consider the vectors 6) () Vo = V3 = in R2. Compute scalars ,2, E3 not all 0 such that I1V1+2V2 +r3V3...
/ 10 pts. Problem No. 2.6 1 + 2 x2 + 4 = + 2x2 + 2 x3 = 1 | x1 +2 x2 + 3x3 = -6 Solve the system of linear equations by modifying it to REF and to RREF using elementary equivalent operations. Show REF and RREF of the system. Matrices may not be used. Show all your work, do not skip steps. Displaying only the final answer is not enough to get credit.
37 Let vi = 0 , V2 = 1, and V3 = 2 . These 3 vectors are linearly -1] dependent. Fill in the blanks for c2 and C3 so that the following is a linear dependence relation: Vi + C2 V2 + c3 V3 = 0.
Problem 9 Suppose that (vi, v2, v3) is a set of vectors from a vector space V. Prove that the set (vi-V2-V2-V3, U3-U1} ?s a linearly dependent subset of V
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