1. Determine which of these are linear homogeneous recurrence relations with constant coefficients. Also, find the degree of those that are., an-1 (a) an = 3a,-1 + 4an-2 + 5an-3 (b) ап (c) a +n = (an-1)² (а) а, — а,-1+ 2а,-з (е) а, — 3 (f) a, = an-1 +an-2+n+3 (8) а, — 4а,-2 + 5а,-4 + 9a,n-7 3

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A: BY USING THE LAPLACE TRANSFORMATION RULES  WE GET OPTION (D) IS CORRECT OPTION.

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A: Evaluating the value of the expression

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A: U(5)=1, 2, 3, 4U(10)=1, 3, 7, 9

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A:

Q: a=(3,2,-1), b=(1,-1,2),

A: Given: a=3, 2, -1 and b=1, -1, 2 To find:  1. a×b 2. a+2b×b 3. a·3b 4. b×a·c 5. b×3a-2b

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A: I have only deducted the green part as per your request.

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A: This is a problem of linear transformation.

Q: .

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Q: (b) Show that (АВ) -1 — в-1А-1. (АB) -1 B-A-1

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A:

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A: Solve by matrix operations

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A:

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A: We can write (10  -6) as:

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A: Given that  Aλ=5+λ(λ+1),10-λ(λ+1) where λ∈ℤ+Aλ=5+λ(2λ+1),10-λ(2λ+1) where λ∈ℤ+Aλ=1-1λ,10 where…

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Q: Find a, b, and c if [a b c]+[c a b]= [3 2 -1] Given: 0 4 - [³ - 2 - 4 ]- B - [ - 2 - 6 ], and C-[₁7]…

A: Please find the explanation below. Thank you.