Explain why S is not a basis for M 2 O sis inearly dependent. Os does not span M O si inearty dependent and does not span M,

Q: Which of the following is the standard basis of M22? 0. 0. 0. Lo o][1 o]* o 0. 0 1] 0 0 1.

A:

Q: Explain whether S = {1, 2x, x -4, 5x} is a basis for P2 or not

A:

Q: Determine whether S is a basis fa S = {9 – t, t³, 6t², 2t +

A: S is the basis of P3 if the vectors are linearly independent. Therefore for the vectors to be…

Q: Explain why S is not a basis for M2,2.

A: Let's check if S is linearly independent or not. S will not be linearly independent if for some…

Q: Let M1 M2 M3 = and 3 4 A1 = A2 A3 : Let B {M1, M2, M3} and W = span(B). It can be shown that B' {A1,…

A: The solution is given as follows

Q: How are n, rank A, and nullity A related to each other how can one find a basis for Col A, Nul A,…

A: Write the relationship between n, rank A and nullity A. Also write a procedure to find a basis for…

Q: Determine whether S is a basis for P3. S= {3 – 4t2 + t, -2 + t², 2t + t³, 6t} O S is a basis of P3.…

A: S=3-4t2+t3, -2+t2, 2t+t3,6t Consider , a3-4t2+t3+b-2+t2+c2t+t3+6td=0 ; a,b,c,d∈ℝ…

Q: Let S = {2x, 1 - x, x² + x-1, x + 1,X P2 S is a basis for the above P1 S is a basis for the above P3

A:

Q: Let 0 M1 M2 M3 and 6. 3 5 A1 A2 A3 Let B {M1, M2, M3} and W = span(B). It can be shown that B' {A1,…

A:

Q: Explain why S is not a basis for P2. S = {1 - x, 1 - x², -1 – 4x + 5x2} O sis linearly dependent. O…

A:

Q: Explain why S is not a basis for P2.S = {−3 + 6x, 3x2, 1 − 2x − x2}

A:

Q: Explain why S is not a basis for M22

A: We have t.o show that why S is not Basis for M2,2: Concept: The dimension of a vector space V, is…

Q: Write standard Basis of P4(x)?

A: P4(x) is a collection of polynomial degree atmost 4

Q: Explain why S is not a basis for P2.S = {−1, 11x}

A:

Q: Explain why S is not a basis for P,. S = {1 - x, 1 – x?, -1 – 2x + 3x?} O sis linearly dependent. O…

A:

Q: Determine whether S is a basis for P3. S= {5 – 312 + t2, -4 + t2, 3t + t³, 6t} O is a basis of P3. S…

A:

Q: Determine if S is a basis of P3. S = {1-t, 2t + 3t2, t2 - 2t3, 2+t3}

A:

Q: 3 4 If a basis for R3 is B and given [*]B find i in the standard basis. =

A:

Q: Explain why S is not a basis for M, O sis inearly dependent. O s does not span M.2 O sis linearly…

A: We can solve this as follows:

Q: Explain why S is not a basis for M2,2- s={: :}[::} 1 0 0 1 O sis linearly dependent. O s does not…

A:

Q: –10 S = l2] ] 13 2. 2.

A:

Q: Determine whether S is a basis for P3. S= {5 – 3t2 + t3, -4 + O is a basis of P3. t2, 3t + t?, 5t}…

A: Given S = 5 - 3t2 + t3, -4 + t2, 3t + t3, 5t

Q: Determine whether S is a basis for M2,2. 2 01 2 0] [o 2 0 1 0 5 4 2 4 1 2 0 O sis a basis of M2,2- O…

A:

Q: Explain why S is not a basis for M2,2" 0 1] 1 0 0 1 1 0 O sis linearly dependent. O s does not span…

A: Here given set as S=0101, 1010 Now a, b lies in the field…

Q: Let M = {l; :C %3D Then M is not a basis for M because M is lincarly dependent the above is true…

A:

Q: Let B = {1+x, 1 – x², x + 2x²} and p(x) = 7+ 10x + 11x². You are given that B is a basis for IP2.…

A: NOTE: Refresh your page if you can't see any equations. . write all polynomial as a vector

Q: O Is the sed 5-[2],[2 1]" basis for R".

A: A basis is linearly independent and spans the space   We are allow to solve first question only. If…

Q: Explain why S is not a basis for M, 2: -{::}[::} 0 1 1 S = 0 1 1 0 S is linearly dependent. s does…

A:

Q: Determine whether S is a basis for P3. S = {3 - 4t2 + t3, -3 + t?, 2t + t³, 6t} O is a basis of P3-…

A:

Q: Which sets below form a basis for R? There may be more than one answer. 1 2 10 44 3 14 10. 2

A: We have to check which of the following sets form a basis for R3.

Q: Explain why S is not a basis for R2. S= {(3, 5), (1, 0), (0, 1)} O sis linearly dependent. O does…

A: The given set S=3,5, 1,0, 0,1

Q: Show that the set below is a basis for R3. S = {(1, 0, 0), (0, 1, 0), (0, 0, 1)}

A:

Q: Determine whether S is a basis for M2,2- 4 0 2 2 3 0 2 0 O sis a basis of M2,2- O sis not a basis of…

A: The given set,S=4003, 1402, 2230, 0120

Q: Determine whether S is a basis for P3. S = {5 – t, t³, 4t2, 2t + t³, =1 + 5t} O is a basis of P3. O…

A:

Q: Determine whether S is a basis for M2.2. 2 0 2 4 0 1 5. 0 2 4 0 O S is a basis of M2,2. O S is not a…

A:

Q: Determine whether S is a basis for P3. S = {5 – 3t2 + t3, -2 + t2, 3t + t³, 5t} O is a basis of P3.…

A:

Q: Explain why S is not a basis for P2. S = {1, 5x, –7 + x², 6x} O sis linearly dependent. O s does not…

A: RECALL: S is basis for V if(i) S is linearly independent.(ii) S spans V.

Q: One of the following sets is a basis forR. Select one: O a. 1 23 S = 4 8. 6. O b. -1 4 %3D 5. 10 1 S…

A: Sets S are given, we have to find the basis set of R3.

Q: 12. The et 5 - {; 96 1A}- is: a. a basis of M22- b. not a basis of M2,2.

A: The standard basis of M2,2 is: e1=1000 ,   e2=0100 ,     e3=0010 ,    e4=0001

Q: 2)Let S = {[a, 0): a e R} U {(- ∞, b] : b e R} a)what would be a basis B from S? n)ls Sa subbase?

A: Given: S=[a,∞):a∈R∪(-∞, b]:b∈R To find the basis B from S and find the given family is sub base or…

Q: Determine whether S is a basis for P3. S = {2 – t, t³, 7², 8t + t³, -1 + 2t} S is a basis of P3. S…

A: It is to be checked whether S is a basis of P3 or not where  S=2-t, t3, 7t2, 8t+t3, -1+2t

Q: 1. Explain whether S = {1, 2x, x² – 4, 5x} is a basis for P2 or not.

A:

Q: Determine whether S is a basis for P3. S = {1 - 212 + 3, -3 + 2, 2t + t, 6t} O is a basis of P3. O…

A: The given set is: S= 1-2t2+t3,  -3+t2,  2t+t3,  6t

Q: Determine whether S is a basis for P,. S = {-3 + t, 2t?, 3 + t, 3 + 2t + 2t2 + t°} O is a basis of…

A:

Q: Find a basis for Q(3^(1/3), 3^(1/2)) over Q.

A: It is known that,

Q: B/Show if the set below is a basis for M2x2 or not -2 3 3 4 -3

A:

Q: The following is a simplex tableau: Basis Св 5.85 9.43X1 4.5X2 5.85X3 S1 S2 RHS аз X3 S2 X1 -1.25…

A:

Q: Determine whether it is a basis. S= {4 – x, x³, 6x², x³ + 3x, 4x – 1}

A: No it is not a basis  see below the explanation

Q: Explain why S is not a basis for M2,2.

A: The set is S=1000,0110,1001,8-4-43   Known fact: A set of vectors S=v1,v2,…vn is a linearly…

Q: Determine whether S is a basis for P S = {5 - 4t2 + t, -4 + t2, 2t + t, 5t} O is a basis of P2. O s…

A: