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19. Can each vector in R4 be written as a linear combination of the columns of the matrix A above? Do the columns of A span R¹?

19. Can each vector in R4 be written as a linear combination of the columns of the matrix A above? Do the columns of A span R¹?

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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Exercises 17-20 refer to the matrices A and B below. Make appropriate calculations that justify your answers and mention an appropriate theorem. A = 1 -1 3 -1 0 -4 2 0 0 3 -1 1 2 -8 3 -1 - B = 1 0 1 -2 3-2 2 1 -5 -3 7 2-1 1 2 -8 -
Transcribed Image Text:Exercises 17-20 refer to the matrices A and B below. Make appropriate calculations that justify your answers and mention an appropriate theorem. A = 1 -1 3 -1 0 -4 2 0 0 3 -1 1 2 -8 3 -1 - B = 1 0 1 -2 3-2 2 1 -5 -3 7 2-1 1 2 -8 -
19. Can each vector in R4 be written as a linear combination of the columns of the matrix A above? Do the columns of A span R¹?
Transcribed Image Text:19. Can each vector in R4 be written as a linear combination of the columns of the matrix A above? Do the columns of A span R¹?
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