Consider the polynomials p, (t) = 1+t, p2(t) = 1-t, and p3 (t) = 2 (for all t). By inspection, write a linear dependence relation among p1, P2, and p3. The find a basis for Span (P1. P2- P3}- ..... Find a linear dependence relation among p1, P2. and P3. P3 = OP1 + (O P2 (Simplify your answers.) Find a basis for Span{p1. P2. P3}. Choose the correct answer below. O A. {P1. P2} O B. {P;} O C. {P1 +P2. P3} O D. {+t, 2+2t} O E. {P3}

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the polynomials p, (t) = 1+t, p2(t) = 1-t, and p3 (t) = 2 (for all t). By inspection, write a linear dependence relation among p1, P2, and p3. The
find a basis for Span (P1. P2- P3}-
.....
Find a linear dependence relation among p1, P2.
and
P3.
P3 = OP1 + (O P2
(Simplify your answers.)
Find a basis for Span{p1. P2. P3}. Choose the correct answer below.
O A. {P1. P2}
O B. {P;}
O C. {P1 +P2. P3}
O D. {+t, 2+2t}
O E. {P3}
O F. {P1. P2- P3}
Transcribed Image Text:Consider the polynomials p, (t) = 1+t, p2(t) = 1-t, and p3 (t) = 2 (for all t). By inspection, write a linear dependence relation among p1, P2, and p3. The find a basis for Span (P1. P2- P3}- ..... Find a linear dependence relation among p1, P2. and P3. P3 = OP1 + (O P2 (Simplify your answers.) Find a basis for Span{p1. P2. P3}. Choose the correct answer below. O A. {P1. P2} O B. {P;} O C. {P1 +P2. P3} O D. {+t, 2+2t} O E. {P3} O F. {P1. P2- P3}
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