LET X,XXball SHOU THAT R=212ELXI is a pivot EXi iS a pivot

Q: How do you know that for all a, b, c, d: ax + bx will be orthogonal to cx? + d ?

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Q: Use Cramer's rule to fins a solution: 3x-2y=4 6x-4y=0

A: Cramer’s rule:

Q: Show that ex and e−x are linearly independent in C(−∞,∞).

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Q: Let S in Mzx2; a + 2d=0 and b-2c 0 with the standard %3D operations in M2x2 Which of the following…

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Q: Y=√x, but is shifted to the right 1unit y =

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Q: Assume that 1<a<b and a/x+ x = 1 /(x - b) . Show that this equation is solvable.

A: Given that the equation, To solve the equation,

Q: Prove that the quartic function q(z) = r* - 16 has only

A: Given that: q(x)=x4-16

Q: Determine whether the set {P1, P2, P3} is linearly independent in P2, where p₁ = 2+x+3x² + 4x³, p₂ =…

A: Let V be a vector space . let v1,v2.....vn ∈V are linearly independent iff c1a1+c2a2+...+cnan=0…

Q: Use the indicated entry as the pivot and perform the pivoting. $3 z 0 0 60 o ol 80 1 0 300 0 10 X1…

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Q: State where in the ty-plane the hypotheses of the Existence and Uniqueness Theorem are satisfied for…

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Q: Let x,y ∈ Rn Show that: |x + y| 2 + |x - y|2 = 2|x|2 + 2|y|2

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Q: The vectors u = (-7, 1, -2) and v = (-28, x, - 8) are parallel if and only if x = - 212 %3D Select…

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Q: let (X, Z) %3. üit piece wise comnected ?

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Q: |A student writes the statement ā.b = b.č and then concludes that a = č. Construct a simple…

A: The given problem is related to vectors. Given: a student writes the statement a→ . b→ = b→ . c→ and…

Q: Let v (k,2k,1) and w (k,-1,-8). For which values of k are v andw orthogonal?

A: Calculation:Since it is given that v and w are orthogonal, v ∙ w = 0.

Q: Let floo) = 0e 5 and gloo) = 2a19 Detemine Cgof) (x) 2079. %3D %3D

A: Topic:- function

Q: Let z2T3-L p=S+Si O fird all the complex mumbers %3D guien by hza

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Q: Find ATA and AA". 2 0 1 %3D -1 4 2 (a) ATA 1 1 (b) AAT 21 Which of the products are symmetric?…

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Q: Find the cross product axb. 1+9k, b- 41-j+ 3k Verify that it is orthogonal to both a and b (a xb) (a…

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Q: Determine whether the set [p., pa, p3] is linearly Independent in Pa, where pi= 3+x+3x²+4x3 Pa = 4+…

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Q: If A is diagonalizable, then A is similar to D. Select one: O True O False

A: Given   if matrix a is diagonalizable then A is SIMILAR  to D

Q: Use the indicated entry as the pivot and perform the pivoting X, X2 X3 5, z o 0 60 0 0250 1 0200 0…

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Q: Determine whether v = -2i + 3j, w = -6i - 9j are parallel, orthogonal, or neither.

A: Determine whether v=-2i+3j,  w=-6i-9j are parallel, orthogonal, or neither. Solution:- if two…

Q: Solve the followig 13. BauSsian or Eduss Jordan Using E lemination. 5x, +6x=7X 3D0 3. ース×,+ 3X7…

A: Answer

Q: Find the length and direction (when defined) of u xv and vxu. u= - 12i + 8j – 20k, v = - 3i + 2j -…

A: To find the length and direction of u→×v→, first find the value of u→×v→ by cross product. The given…

Q: The set of functions {2x – 3, 2x? – 3 x, 2x2 - 3x + 3} is linearly independent False True

A: We could either prove the wronskian is non zero and hence the functions are linearly indepedent or…

Q: Show that ∗ : R × R → R defined by        a ∗ b = a + 2b is not commutative.

A: Show that ∗ : R × R → R defined by        a ∗ b = a + 2b is not commutative.

Q: the set A = {2+x², 3+ 5x – 4x²} C P2(R) - -) Show that A is linearly independent.

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Q: Let ū = 2i – k and ī = i+3j + k. Compute |ū], |T], ū x ī, and Projzū.

A: Solution is here

Q: If d is a scalar multiple of b, then ax%. Select one: True False

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Q: Suppose Q : R? → R is a quadratic form such that Q(x) = 1 for all vectors X E R? Cuch that

A: Given: It is given that the quadratic function Q:R2→R such that Q(x)=1 for all vectors x∈R2 such…

Q: (b) Are the polynomials x + 5, x – 5, 2x +1 linearly independent in P1(R)? Explain.

A: The vectors a1, ..., an are called linearly independent if there are no non-trivial combination of…

Q: R. find he Corficient of

A: We need to find coeffiient.

Q: Find all values of c so that (2, 1, c) and (c – 1, 2, 2c) orthogonal. are

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Q: Determine whether the set {p1,p2,p3} is linearly independent in P2, where p1 = 2+x+3x^2 +4x^3, p2 =…

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Q: Prove That A. CBxc) = B:(C xA)

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: Let P, Q, and R be the points at 1 on the x-axis, 2 on the y-axis, and 3 on the z-axis,…

A: Let O is the initial point (0, 0, 0) and the vector OP, OQ and OR vector can be represented as:

Q: The linear Diophantine equation 11x + ny = 44 is solvable if, and only if,

A: We are given the linear Diophantine equation 11x+ny=44. For it to be solvable we must have gcd(11,…

Q: The entries of A are aij. Assuming that zeros don't appear. what is (a) the first pivot? (b) the…

A: A =aij  where aij≠0we reduce A in row reduced echelon form first pivot  element is a11 bacause every…

Q: If a = i + j + 5k and b = i + j + 3k, compute the cross product aXb

A: We have to find cross product

Q: f A E R2x2 is not diagonalizable, then A is not diagonalizable. True or False? Give an example to…

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Q: Show that the dyfferential equatian IS exact x(スt5in t) do + cast -2tu) abe +x² dt-

A: We will show that the given differential equation is exact.

Q: If A Is diagonalizable then Is diagonallzat Select one: O True O False

A: We will solve the following

Q: Determine whether v = -2i + 3j, w = -6i - 4j are parallel, orthogonal, or neither.

A: Given;                 v=-2i+3j,  w=-6i-4j We say that 2 vectors are orthogonal if they are…

Q: Suppose that u = – 2i – 5j and v = - 3i – Compute the given linear combination of these two vectors.…

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Q: The set {t, –3t?} of P2 is linearly independent. O True O False

A: x=t  --------------equation 1y=-3t2  -------------equation 2now from equation 1 and 2y=-3x2means y…

Q: Let z = 2 - 3xy?+ x². Zay %3D Zyy

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Q: Let fa) = x -1E Zs CxJ, wrte fX) as a produt of ireduclble polynomias as Zg.

A: Answer