Given and prove

Q: 1 1 1| 1 1 If A =|1 1 1], then A2018 = A?

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Q: Show that if ac|bc, then a|b.Show that if a|b and b|a then a=±b.

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Q: Use a) and b) to find A-1

A: Let's find inverse of A from given results a and b.

Q: Justify the equations in either by deriving them from formulas.

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Q: Perform. the operatben 0 possible; AxB not A= B= 2 0 3 3 4)

A: The given matricesA=221-1 and B=12-103-4

Q: З and an - - 3ап-1 + an-2 for integers n>2. Evaluate and d4: Let a, = 2, a2

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Q: . If an+2 = 6an+1 - 8an + 3 and ao = 3, a1 = 7, then a6

A: We have to solve given problem:

Q: {m} € {m} O True O False

A: The given statement is {m}∈{m} Now, given both are sets. So set is belongs to some set is not a true…

Q: 5. Use proof by cases to prove the statement: If a and b have the same sign, then |a+b| = |a| + |b|.

A: The given problem is to prove the given statement by using the proof the cases. The given statement,…

Q: Let Find M13 and C13. M13 = C13= ND MI A = -1 -3 0 0 7 1 8 8 9 4 5 0 -6 7 -6

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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: Let A and B be two sets of real numbers. Which one of the following identities is true? O A = (Anø)n…

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Q: uxv is , and U x u is

A: We are asked to find the cross product of the vectors

Q: 3. In how many ways can one enter and then exit a six door room if the entry and the exit door can…

A: It is given that the six door room.

Q: let A. 2. . find A"

A: We have, A=1201To find An we will calculate A1,A2,A3,... and observe the pattern.

Q: If a1, az, az,.-ans. be the A.P. and S, = a-1m+1+a-1m+2+a-1n+3 +.--+ am %3D Prove that :…

A: In this question we have to proof S1, S2, S3,.... are in Arithmetic Progression.

Q: 6. For A, B, subscts of R, define A+B= {a+b:a€ A, bE B} and A B= (ab:a € A,bE B} (a) For A=…

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Q: is called the multiplicative identity. • 0 -1 • 9 • 1

A: The multiplicative identity is 1because multiplying a number by 1 leaves it unchanged . If a is any…

Q: Let a = . Find Ja]. - 2, 2,1 >. Find lä].

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Q: DIVISION BYt (:) - {}> 81. Show that In %3D

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Q: Let á = . Find Jä].

A: Let's learn the concept.

Q: If a and ß are constructible, then evaluate that (x,ß) s constructible.

A: If ? and ? are constructible, then evaluate that (?,?) is constructible.

Q: Type the correct answer in each box. If z =-1-13i and 26 = a+bi, then a = and 6 =

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Q: с. In(х + 2) +Inx —D In(x + 12)

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Q: {{m}} с {{m}, {m}} O True O False

A: (.)Proper Subset:  A set 'B' is said to be a proper subset of 'A' if all the elements of 'B' are the…

Q: If A n CCB n C and AnCcBnC, then show that ASB.

A: Introduction :