Let T:R3 -> -11-1 95 R³ be multiplication by 2 10-17 6 1 -1 1. The kernel of T is a line through the origin. Find a vector equation for it. У א B = t 2. The range of T is a plane through the origin. Find an equation for it. X + y + Z = = 0

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A: ⎣⎢⎡​s+2t2s+5t2s​⎦⎥⎤​,s,t∈R⎣⎢⎢⎢⎢⎢⎡​x1​x2​x1​+2x2​+3x5​x5​x5​​⎦⎥⎥⎥⎥⎥⎤​,x1​,x2​,x5​∈R Nullity + Rank…

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A: Proof is given below Explanation:Step 1:Step 2: Step 3: Step 4:

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A:

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A: find the general solution of the given higher- order differential equation. y'''' +y'''+y''=0.

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A:

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A: We will complete the above solution.

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A: Need to find .Use Binomial Theorem.

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A:

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A: please refer below pages.If you have any questions feel free to ask.Explanation:Step 1: Step 2:

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A:

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Q: Needs Complete explanation.

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Q: Find and plot the roots of the following numbers show all the work please asap

A: Answer is given below.Explanation:

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