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c. 25 d. the dimension cannot be determined from the given information. 2. The dimension of the vector space of all real valued polynomial functions on R of degree 5 or less is a. 1 b. 4 c. 5 d. 6 e. None of the above 3. If (1, 1, 3) = a (-3, 0, 4) + b (5, -1, 2), what is the value of a? a. -2 b. 0 c. 2 d. No solution e. none of the above

c. 25 d. the dimension cannot be determined from the given information. 2. The dimension of the vector space of all real valued polynomial functions on R of degree 5 or less is a. 1 b. 4 c. 5 d. 6 e. None of the above 3. If (1, 1, 3) = a (-3, 0, 4) + b (5, -1, 2), what is the value of a? a. -2 b. 0 c. 2 d. No solution e. none of the above

Advanced Engineering Mathematics
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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1. The dimension of M5x5, the vector space of all 5 x 5 matrices of real numbers is a. 1 b. 5 c. 25 d. the dimension cannot be determined from the given information. 2. The dimension of the vector space of all real valued polynomial functions on R of degree 5 or less is a. 1 b. 4 c. 5 d. 6 e. None of the above 3. If (1, 1, 3) = a (-3, 0, 4) + b (5, -1, 2), what is the value of a? a. -2 b. 0 c. 2 d. No solution e. none of the above
Transcribed Image Text:1. The dimension of M5x5, the vector space of all 5 x 5 matrices of real numbers is a. 1 b. 5 c. 25 d. the dimension cannot be determined from the given information. 2. The dimension of the vector space of all real valued polynomial functions on R of degree 5 or less is a. 1 b. 4 c. 5 d. 6 e. None of the above 3. If (1, 1, 3) = a (-3, 0, 4) + b (5, -1, 2), what is the value of a? a. -2 b. 0 c. 2 d. No solution e. none of the above
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