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
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Chapter2: Second-order Linear Odes
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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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