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8. (i) For what type of square matrices A will the algebraic system Ax = 2x have solutions other than x = 0? {Here x is an nx1 real matrix & A is an nxn real matrix.} (ii) Give an example of the 2x2 type in Part 8(i). (i) V. (Hint: Ix = x) (ii) V (n=2 )

8. (i) For what type of square matrices A will the algebraic system Ax = 2x have solutions other than x = 0? {Here x is an nx1 real matrix & A is an nxn real matrix.} (ii) Give an example of the 2x2 type in Part 8(i). (i) V. (Hint: Ix = x) (ii) V (n=2 )

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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8. (i) For what type of square matrices A will the algebraic system Ax = 2x have solutions other than x = 0? {Here x is an nx1 real matrix & A is an nxn real matrix.} (ii) Give an example of the 2x2 type in Part 8(i). (i) V. (Hint: Ix = x) (ii) V (n=2 )
Transcribed Image Text:8. (i) For what type of square matrices A will the algebraic system Ax = 2x have solutions other than x = 0? {Here x is an nx1 real matrix & A is an nxn real matrix.} (ii) Give an example of the 2x2 type in Part 8(i). (i) V. (Hint: Ix = x) (ii) V (n=2 )
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