4 3 1 let A = -1 1 -3 Find a basis for the eigenspace corresponding to the eigen- 4 9. value A= 3

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Q: 3. 2y" + Зу" — Зу' — 2у %3D е-t, con y(0) 3D 0, у'(0) — 0, у" (0) %3 1

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A: This is a problem of function.

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Q: 2. nts) For each set of vectors, decide if the set is linearly independent or linearly dependent. Ju...

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Q: 5. -5 -5 5 -5- -5

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Q: 1 al 1z(z -4)e – 4)e z=1

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Q: Find x if the vectors a =i+j+ 2k;b = xi-j+k; coplanar or linearly dependent.

A: Given,       a=i+j+2kb=xi-j+kc=3i-2j-k

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Q: 1. Consider the finite region R bounded by the curves x = 2u2 +1 and the curve x = y² +2. (a) Sketch...

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A: To determine the Fourier series of the below function. ft=t2−π≤t&lt;πft+2π

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Q: Corollary. Every infinite set contains a proper subset to which it is similar. Proof. Let A be an in...

A: Basically, you are asking to show that the function  f:A→A-{a1}  defined as      f(x)=an+1 if x=an (...

Q: 4. If an + 0, prove that |an+1| lim inf |an+1| < lim inf Jan| < lim sup lan] <_lim sup |anl |anl n→+...

A: The given question is related with real analysis. Given that , an ≠ 0 . We have to prove that       ...

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Q: Approximate the integral | dx using 4 trapezoids .2 1

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Q: Write the limit given the set: {0.3,0.33,0. 333,0.3333,.} {1.6,1.66,1.666,1.6666,...}

A: Given that the set is 0·3,0·33,0·333,…. We have to find the limit of the set.

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Q: C) 7D=>7E FV 7D

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Q: Exercises Find the center and radius of each circle. 1. x2+ y? = 25 2. (x- 1)2+ (y + 1)2 = 49 3. (x+...

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for you...

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Q: The value of the integral [Fnds, where s is the surface of the cube bounded by x = 0, x = 2, y = 0, ...

A: We use divergent theorem to find the value of the integral.