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3. Find the matrix X, such that XC - 2C = DXC satisfies. 3 4 4 4 1 C = 1 2 1 D = 1 0-2 4 1 -1 -3

3. Find the matrix X, such that XC - 2C = DXC satisfies. 3 4 4 4 1 C = 1 2 1 D = 1 0-2 4 1 -1 -3

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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B 3= -1 3 1 1 24 -1 2 3. Find the matrix X, such that XC – 2C = DXC satisfies. (5p) 3 4 4 4 0. 1 C = 1 2 1 D = 1 0 -2 4 1-1 -1 -3 4. Let L= {(x1,x2, 13, X4, X5) E R | x1 – x2 + 2x3 = 0, 3x3- 25 0}. Prove that L is a subspace of R, determine a basis of L and calculate (5p) its dimension.
Transcribed Image Text:B 3= -1 3 1 1 24 -1 2 3. Find the matrix X, such that XC – 2C = DXC satisfies. (5p) 3 4 4 4 0. 1 C = 1 2 1 D = 1 0 -2 4 1-1 -1 -3 4. Let L= {(x1,x2, 13, X4, X5) E R | x1 – x2 + 2x3 = 0, 3x3- 25 0}. Prove that L is a subspace of R, determine a basis of L and calculate (5p) its dimension.
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