Find matrix P according to the concept in linear algebra, the solution of P should be a 5x3 matrixCorrect and detailed answer will be Upvoted else downvoted. Thank you! Consider the vector spacePA(R) = {ax* + ba + cx? + dx + e : a, b, c, d, e E R}of polynomials of degree at most 4. Please find three distinct polynomials f1, f2, f3 that spans a 2-dimensional subspace. To typeyour answer, please type in the matrix P such that( fi(x) f2(x) f3(x))=(1 x x? x3 x4) PHint:

Note:- for this problem you don't mention about f1, f2, f3 (should i have to take f1, f2, f3…

Answered: Consider the vector space PA(R) = {ax +…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Find matrix P according to the concept in linear algebra, the solution of P should be a 5x3 matrix

Correct and detailed answer will be Upvoted else downvoted. Thank you!

Consider the vector space
PA(R) = {ax* + ba + cx? + dx + e : a, b, c, d, e E R}
of polynomials of degree at most 4. Please find three distinct polynomials f1, f2, f3 that spans a 2-dimensional subspace. To type
your answer, please type in the matrix P such that
( fi(x) f2(x) f3(x))=(1 x x? x3 x4) P
Hint:

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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