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lem 15. Consider the vector space M2.2 of 2 x 2-matrices over the real numbers. Let W be the pace of matrices such that the sum of the entries in the first row equals the sum of the entries in the nd row, or in symbols: +b=c+d}. :{ a basis for W and the dimension of W. W = Answer: b Basis: Dimension:

lem 15. Consider the vector space M2.2 of 2 x 2-matrices over the real numbers. Let W be the pace of matrices such that the sum of the entries in the first row equals the sum of the entries in the nd row, or in symbols: +b=c+d}. :{ a basis for W and the dimension of W. W = Answer: b Basis: Dimension:

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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oblem 15. Consider the vector space M2,2 of 2 x 2-matrices over the real numbers. Let W be the space of matrices such that the sum of the entries in the first row equals the sum of the entries in the ond row, or in symbols: a v = { [² nd a basis for W and the dimension of W. W Answer: c d Basis: | a a+b= c+d} Dimension:
Transcribed Image Text:oblem 15. Consider the vector space M2,2 of 2 x 2-matrices over the real numbers. Let W be the space of matrices such that the sum of the entries in the first row equals the sum of the entries in the ond row, or in symbols: a v = { [² nd a basis for W and the dimension of W. W Answer: c d Basis: | a a+b= c+d} Dimension:
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