Show that  ℝ2 = span([1 1], [1 -1])

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

A: Given data is12, 13, 15, 17 , 20

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: 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: 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: 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: 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: 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: 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: 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.