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Consider the 2×2 real matrices set M = operations of addition and scalar multiplication. a b (0) a-2b + c = 0} with the standard C

Consider the 2×2 real matrices set M = operations of addition and scalar multiplication. a b (0) a-2b + c = 0} with the standard C

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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Consider the 2×2 real matrices set M = the matrix 2 (33) 0 under your given basis; operations of addition and scalar multiplication. (1) show that M is a linear: space; (2) Find a basis of the linear space M and the dimension dim(M); And find the coordinate of (3) If the inner-product on M is defined by (A, B) = trace(BT A), a b 8). C a-2b + c = 0} with the standard VA, BEM
Transcribed Image Text:Consider the 2×2 real matrices set M = the matrix 2 (33) 0 under your given basis; operations of addition and scalar multiplication. (1) show that M is a linear: space; (2) Find a basis of the linear space M and the dimension dim(M); And find the coordinate of (3) If the inner-product on M is defined by (A, B) = trace(BT A), a b 8). C a-2b + c = 0} with the standard VA, BEM
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