What dimension is P3 (the set of polynomials degree 3 or less)? Which of the following sets form a basis for P3? {2 + x°, - 2x2, x, – 5, 2x + 3} O {3, - V {1, 2x, – 3x², 2æ³ } - M {2a², z, – 5, 2 + a*} O {2r", z, 0, z*} 5, 2 + x*}
What dimension is P3 (the set of polynomials degree 3 or less)? Which of the following sets form a basis for P3? {2 + x°, - 2x2, x, – 5, 2x + 3} O {3, - V {1, 2x, – 3x², 2æ³ } - M {2a², z, – 5, 2 + a*} O {2r", z, 0, z*} 5, 2 + x*}
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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Transcribed Image Text:What dimension is P3 (the set of polynomials degree 3 or less)?
Which of the following sets form a basis for P3?
{2+ x°,
3
2x, x,
— 5, 2а + 3}
-
-
{3, – a°, x}
-
{1, 2x, – 3x², 2æ³}
V {2x², æ, – 5, 2 + æ³}
-
– 5, 2 + x* }
-
O {2x², z, 0, æ*}

Transcribed Image Text:What dimension is M2,2 (the set of 2x2 matrices)?
Which of the following sets form a basis for M2.2?
[1 0
4 2
|}
5 7
0 0
- 2
1 0
0 0
1 0
0 2
0 0
0 0
2
1 0
-
|
0 2
1 0
0 0
0 0
}
1 0
0 2
ㅇ
0 0
0 0
2
1 0
4 2
[1 0°
0 0
5 7
0 0
2
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