2. For each of the following homogeneous systems of linear equations, fin the dimension of and a basis for the solution space. (a) x1+3x2 = 0 x1 + x2 - (b) x3 = 0 2x1 + 6x2 = 0 4x1+x22x3 = 0 (c) x12x2 - x3 = 0 2x1 + x2 - x3=0 2x1 + x2 (d) - x3 = 0 x1- x2 x3=0 x12x22x3 = 0

Q: Question 1 Prove that the number of pairs (A, B) such that A C B C {1,2.n} is 3".

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A: To find: The equivalent statement of ∀x : Px∧Qx from the following:a) ~∃x : ~Px∨~Qxb) ∀x : ~Px⇒Qxc)…

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A: The given expression is C4,0-C4,1+C4,2-C4,3+C4,4 Use the formula for the combination  Cn,r=n!r!n-r!…

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Q: 2. (Section 17.6) Evaluate Jy²ds where S is the part of z = 3 + y inside a² +y² = 9. S

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A:

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A:

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A:

Q: 18

A:

Q: Section 2.2 as) Given: mく3 > m<4 a Prove FH is not I to EG H.

A:

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A:

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A:

Q: True or false (you must giving convincing reasoning to support your claim) { 1 , 2 } ∈ { { 1 , 2 ,…

A:

Q: If A-¹ A = 0 = [92]. wha -1 what is A?

A:

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A: We have to check

Q: 7 and 8

A: We have given problems.