Show that  ℝ2 = span([1 1], [1 -1])

Q: -2 -3 Q3) Find JA| Where A =1 0 1 1 -1

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Q: value of ∑n=1∞(6an+9bn) if ∑n=1∞an=8 and ∑n=1∞bn=2.

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Q: Prove that AAB = (AU B) - (An B),

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Q: 19find all zeroS fx)=x3 +Hx*tX +H

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Q: Lim. Zan² (4x) X² it: to x 70

A: Let,the given limit is

Q: Compute ATBT and BT AT by hand if possible. If not possible, describe why. A = 2 3 −1 0 B = 10 -1 0…

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Q: Describe geometrically (line, plane, or all of R 3) all linear combinations of (a) [ 1/2/3 ] and […

A: We know that a set of vectors u1, u2, ……, un is said to be linearly independent if the equation…

Q: Find an integer coefficient cubic that has x = 1 and x = 2+ /3 as zeros.

A: Given: The two zeros of a cubic polynomial are x=1 and x=2+3.

Q: For the numbers 12, 13, 15, 17, 20 Compute: SX   SX2   (SX) 2

A: Given data is12, 13, 15, 17 , 20

Q: The following equation defines how the velocity of a slow-moving vehicle varies with time where the…

A: Given: The equation that defines how velocity of a slow moving vehicle varies with time where V is…

Q: Verify that v2+ V5 is algebraic over Q.

A: Algebraic number :- An algebraic number is a number that is a root of a non-zero polynomial in one…

Q: In (Z24, €) find the orders of the elements 3, 4, 6, 7, and 18.

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: is o(x). Hint: Use ling divisim

A: Let consider  fx=x4+x2+1x3+1 To show that f(x) is O(x).

Q: Z

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Q: Show that (A\B)\CC A\C.

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Q: for the discrimanat here dont we do (Uxy)^2-(Uxx*Uyy)

A: Please see the below picture for detailed solution.

Q: 3. a) Describe the transformations on y = 3* to sketch y = −4(3-×-2) + 4.

A: Curve or equation, y=3x

Q: each complex Let f be the map semaing nu mbes 2→X y show that flzi2)= f(2)fLZ).

A: The detailed solution is as follows below :

Q: Suppose A=| use Diagonalization to compute A" 10

A: In the given question we have to find the 10th power of the matrix A s.t A=10-12. Concept: If a…

Q: Show that J74) LOSK +Sinn 2. %3D TIX

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Q: Approximate Vsin²(x) + 3dx using n=4 with each of the following: a) Right endpoints b) Left…

A: Given that f(x)=∫15sin2(x)+3dx with n =4 a) The right  Riemann sum uses the right endpoints of a…

Q: if fcx) = _X then f (-1) is: |-X

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Q: Find the Re and Im parts of exp(z?)

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Q: How many bijective functions have [10] as both the domain and codomain

A: Given, 10

Q: |-2+1 () 7:2 だ,て メ-ドコ X, +1メ」 メレ-3x, transformation is gi ven t of trensformation; 4) Show that it…

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Q: Derive the identity (A-B)U(B- A)U(AOB) and AUB.

A: We have to derive the identity A-B∪B-A∪A∩B=A∪B

Q: Evaluate: (8t – 121 + 6)dt

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Q: Determine whether the function defined by = 2x1y₁ - x1y2 - x2y1 + 2x2y2 is an inner product on R².

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Q: Use with (8'e) (-2,) (7,1)

A: Given query is to find indicated vector operation.

Q: Verify the relations (5).

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Q: Ex. Show that V1 = 3i + 7j & V2 =i++1)j a %3D %3D are equal ?

A: Simple vector problem...

Q: 6). Solve xdy- yk -0 x +y* xdx + ydy +-

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Q: What is the difference between the minor of an element aij and the cofactor of the element?

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Q: For two real numbers x and y, if 2x + 3y > 7. Prove by contradiction: 18, then either x ≥ 3 or y ≥…

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Q: Prove that A-B=An(-B) = (-B) – (-A) = −[(-A) U B]. Also, give three expressions for An B and AU B,…

A: Difference of sets: Given two sets A and B, the difference A−B is defined as the set of all elements…

Q: Evaluate by Algebraic Substitution: * 5. S/1+vz dz -(1-v5)(3VE – 2) +c b. (1+ v7)(3V7 + 2) + C 5(1 +…

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Q: Please answer A and B.

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.