Iř bị, b2 form an orthonormal basis for C and x is any vector in C?, then O x[4 – 2 |x - b1|² |x - b2 = |x - b1|* + |x - bg|* O None of the given options is correct O x|4 + x - bi|* – 2 |x - b1 |x · b2 |x|4 – |x · b1| O x4 – |x · bị* - |x - b2|* = 0 = |x - b24 2 x - bị |x · b2|² + |x · b2|

Q: "(A v B) A -(A - B)" is valid O unsatisfiable satisfiable O undecidable semidecidable O unsolvable

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Q: 3. Let X = {(1) (1) (1) ()}. a) Show that X spans R³. b) Explain why X is not a basis for R³. c)…

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Q: Which of the following is a basis for R2? (a) {(1,-1),(-1,1)}  (b) {(1,−1),(1,1),(−1,1)}  (c)…

A: Let V=ℝ2. Identify the basis of ℝ2.

Q: Show that for z, w € C: |z − w|² = |2|² + |w|² - 2 Re(wz). Sketch the set of complex numbers z EC…

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Q: 7 - 32 0 - 36 ? -4 1 Is - 4| in the null space of A= 9 2 3 - 4 Is it in Column space of A?

A: Suppose A is any mxn matrix then Null(A) is the collection of all vectors y of order nx1 such that…

Q: 6) Let R1 and R2 be relations on a set A such that R1 = {(1, 2), (2, 1), (3, 2), (3, 3)} R2 = {((1,…

A: Solution

Q: Let B = {A1, A2, A3, A4} and B2 = {C1, C2. Cs, C4} when : %3D %3D A3 A4 = 0 0 C; - (; }).c- (? :).c-…

A: By Bartleby policy I supposed to solve first 3 subparts.But I am solving all subparts.

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A: Here the given matrix is                                        211010112 We have to find the…

Q: G #2 Find the minded parmamial H ne legenvecters basis L 2 fie geneanzen

A: Given : A=-311-622-311 To Find : Minimal polynomial

Q: Prove that for operators A and B which commute with their commutator [Â, Â]= Ĉ, so that [Â, Ĉ]=[ B,…

A: Given that A⏞,B⏞ commute with their commutator C⏞. Now, ekA.Be-kA=B+kA,B+k22!A,A,B+k33!A,A,A,B+...…

Q: Determine whether {V₁, V2, V3} is a basis for ³. -|-|- -3 6 V1 O Yes Ο No V2 = 8 " V3 = 2 -2 3

A: We have to check whether  is a basis for .

Q: XI Let 2 Xi - X z+ Xq = oY be a %3D Xu subset of IR4. which one is the basis for W?

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Q: Let V be the set of all ordered pairs of real numbers under the following operations of addition 1.…

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Q: Which one of the following is an orthonormal basis of R³? 1 {]--]} {B}. √3 √2 3 {]···]} √2 2 √6 0 /6…

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Q: –10 S = l2] ] 13 2. 2.

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Q: Find a basis for span(sin2x, cos2x, cos 2x) in F

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Q: За + 6b — с ба — 26 — 2с - Find a basis for H = : а, b, с €R -9a + 56 + 3c | -3a + b+ c

A: Given H=3a+6b−c6a−2b−2c−9a+5b+3c−3a+b+c:a,b,c∈R We have to find the basis for H. First write the…

Q: (a) Show that Sn can be generated by transpositions (1,2),(1,3),...,(1,n). (b) Show that Sn can be…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: 2-j 4 5+2j -1 + j F) arrays after execution of each statement: 1) B = A' 2) C-[real(A) imag(A)] 3)…

A: This question is from MATLAB. We'll run the given commands and get the result as solution.

Q: If b1, b2 form an orthonormal basis for C and x is any vector in C, then O x4- x bị x b2 0 O x+ x bị…

A: We will find out the required value.

Q: O Let (e>+) is aring of complex numbers and Mz be aringof2 matrices aud g e-ɔM, desined as Follows:-…

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Q: Extend {l + x, 1 + x + x2} to a basis for P 2.

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Q: What is the coefficient What is the coefficient of rx3x3 in (x₁ + x2 + x3 − x4 - x5)⁹? 1 13 of 2¹3…

A: To find the coefficient of x14 x32 x43 in (x1+x2+x3-x4-x5)9 we will use binomial theorem.  The…

Q: Leta = Express in the form = C1 and let C = in C. Determine c₁ and 2: Number C1 C₂2 Number 3√73 73 8…

A: x→=c1-37373-87373+c2-8737337373We need to find the value of c1 and c2.

Q: Let 0 3 0 1 1 2 2 1 A = -1 B : 0 1 1 2 0 1 -2 Compute det(AB), det(A-'B-!) and det(2A) where 2A…

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Q: 2. Consider the basis * B = (1+*+**, x +r, 2). %3D for P2. Let p(x) = -1 + x + 2r?. Then [p(x)]R =…

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Q: Extend {1 + x, 1 + x + x2} to a basis for P3.

A: Given set is ,                  1+x , 1+x+x2   (.)  Standard basis of  P3  is                    1 ,…

Q: ow that B = {5+i, 2+i} is a basis for Q(i) whose elements are algebraic tegers. Why is ß not an…

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Q: 9. Determine a basis for the row space of [ -2 -1 2 -6

A: