Find a basis and the dimension of the subspace W of P(t) spanned by(a) u= 13+ 22 – 21+1, v= # + 32 – 3t + 4, w = 213 + 72 – 7t+ 11,(b) u= 13+f – 3t + 2, v= 28 +f+t-4, w = 4 +32 – 5t +2.

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Find a basis and the dimensi on of the subspace W of P(t) spanned by (a) u=t+ 28 – 21+1, v= P + 32 – 3t +4, w = 213 + 7R - 7t+ 11, (b) u=t+f – 3t + 2, v= 20 +R +t- 4, w = 48 +3P – 5t +2.

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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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

Question

Find a basis and the dimension of the subspace W of P(t) spanned by
(a) u= 13+ 22 – 21+1, v= # + 32 – 3t + 4, w = 213 + 72 – 7t+ 11,
(b) u= 13+f – 3t + 2, v= 28 +f+t-4, w = 4 +32 – 5t +2.

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