T-1 3 Let A = Find S, D, and S-1 such that A = SDS-¹ S= 88 ,D= 1981 S-¹_ 81

Q: 2 -u²+1 du

A: Here we have to find the value of the integral : ∫1-u2+1 du

Q: Find (u - 2v) · (2u – v), given that u · u = 5, u. v = 6, and v · v = 9. %3D

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Q: a₁a₂ a3 b₁ If b₁ b₂ b3 = 1, then a₁ C1 C₂ C3 A-2 b₂ b3 a2 a3 20₁ 20₂ 203 B8 = C2 D-8

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Q: 306 3. ³ [34] 1-1 [B] 3 5. 7. 9. 11. -6-1 2 320 -14 -2 5 31-1 -12 0 5 4-2-1 24 4 1-1 3 4. 13-16 9-11…

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: 2x₁ + 5x₂ +3x3 = -1 10 x₁ + 30x₂ +10x3 = 1 40x₁ + 10x₂ +30x3 = -8

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Q: perform the indicted operation simplifly the result p2+4pt-32t2/p2+3pt-18t2   x  p2-9p+18t2/…

A: Answer and explanation is given below

Q: - Write the Cayley (operations) table for Z3×S2.

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Q: B D E (i), (vi) (iii), (v) (iii), (iv) (iii), (vi) (i), (iv) We know the order of A3 is 3. Determine…

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Q: If x1=-1, X2=1, Xn=3X(n-1)-2X(n-2), Vn23. Find the general term Xn

A: The given recurrence relation is

Q: Im da+2x Jearz Baxt

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Q: (4 -1 1 (b).| 3 7 - 2 X2 1 3 1 II

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Q: a² + 22 Evaluate ab – ch - b1 bc + ah x ab + ch - 6| са — 62 + 22 bc – ar c2 +2² - с a са + 6л — а |

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Q: - 3x₁ + x₂ + 3x3 = -8 3 x₁ + 4x₂ + 2x3 = 13 2x1 +3x2 + 4x3 = 16

A: Here we have to find solution i.e x1 , x2, x3

Q: 1+3+5++ (2n + 1) = (n + 1)².

A: We have to prove the given result and we will do it by mathematical induction

Q: xdx (х+1)8 Evaluate

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Q: true false Answer Bank 1 - Xb = - X b Xb = + b (ab) (a × b) (аx b) a a a - ()-

A: a)      1ab=1axb    Let a=10 b=5      Let a=5   b=10      1ab=1axb                  1ab=1axb…

Q: Find b for    (b-1)/4 = (7b + 2)/12     _______________

A: I am attaching image so that you understand each and every step.

Q: ろ×- 2. 7x-6

A: Solve for factor

Q: 1 4

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Q: Using linear algebra to find x1,x2,x3

A: Introduction: Row operations are used to convert a matrix to row-reduced echelon form, which is…

Q: Question 7: x² - 4 - y = 0

A: We have to solve the given equation using elimination method.

Q: Show the following property |(B+c)D BD+ CD.

A: We have to show  (B+C)D=BD+CD

Q: Find the rank(A) and null(A). 1 -3 -1 9 . -6 -1 4 -2 -10 -3 9. -6 -6 -3 3 -9 4 9 a) 1; 4 b) 2; 3 c)…

A: Rank(A) and Nullity (A)

Q: If P(A) = 0.5, P(B) = 0.7, and A and B are independent, find P(A and B). P(A and B) = (Type an…

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Q: Given A below, find C13 - 7 3 -9 A = 6. 4 8. -2 5 -1 C13 = Ex: 5 :

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Q: B. DECODE 13 19 10 -1 -33 -77 3 -2 -14 4 1-9 -5 -25 -47 4 1-9 1 2 2 4433 A = 7 9 -1 -4 - -7]

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Q: Evaluate exactly: [ 1 3.s 4+s²³1+5² ds

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Q: 75+4( ((5+1)J-9+2i ) +2(UF-27 +7i

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Q: Examples and answer of some questions about algebra

A: Given

Q: Reduce the faction show all work If you could could you show me every detail how you did it I'm just…

A: First of all, consider the calculation for the sub-part (a).Take L.C.M for the denominators. L.C.M…

Q: 3 2uv 2uv

A: Definition used -        We know -                          a0=1aman=am-n

Q: (2+k)x+54- 10 :0 x + 7y t9:0

A: J

Q: Determine the simplified form of 5+j4 5-j4

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Q: х3 - а3 4. im х-а х4 — а4 a

A: Given:

Q: 4 x₁ + 5x2 +3x3 = -27 2x₁ +6x₂+2x3 = -15 2 x₁ - x₂ + x3 = 12

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Q: 19/2+3 V6- 2 Simplify the expression a. 19/3+3 38/5 +3/6 +6 b. 2 C. 21/3+ 19/2+3 38/3+38/2+3/6+6 d.…

A: Rationalize the given expression so that denominator becomes rational.

Q: algebriac proof of 8x+12=52

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Q: A D E (i), (vi) (iii), (v) (iii), (iv) (iii), (vi) (i), (iv) (ii) We know the order of A3 is 3.…

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Q: Which of the following is NOT a subset of 2{a,b} × {a,b} C (b). Ø) C (a,b), (a,b) ) C (a,b}, a) C…

A: Given set