and x + x²? (a) 3+x²+2x¹ (b) 2 + x − 3x² + x³ (c) 2+x+x³ (d) 3+x-2x² + 3x³ 4. The space of 4-by-4 skew-symmetric real matrices can be spanned by a minimum of m matrices. What is the value of m? (a) 4 (b) 5 (c) 6 (d) 7

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Help me answer number 3 and 4
3. Which of the following polynomials is an element in the span of the polynomials 1+x+x³
and x + x²?
(a) 3+x² + 2x²
(b) 2 + x − 3x² +2³ (c) 2+x+x³
(d) 3+x − 2x² + 3x³
4. The space of 4-by-4 skew-symmetric real matrices can be spanned by a minimum of m matrices.
What is the value of m?
(a) 4
(b) 5
(c) 6
(d) 7
Transcribed Image Text:3. Which of the following polynomials is an element in the span of the polynomials 1+x+x³ and x + x²? (a) 3+x² + 2x² (b) 2 + x − 3x² +2³ (c) 2+x+x³ (d) 3+x − 2x² + 3x³ 4. The space of 4-by-4 skew-symmetric real matrices can be spanned by a minimum of m matrices. What is the value of m? (a) 4 (b) 5 (c) 6 (d) 7
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