Solution:
Let 0 be the characteristic equation of matrix A. Then implies ⌈A-ΥI⌋=0
Hence |A |=0 is singular.
Conversely, let A is singular matrix, then
| A-Î¥I | = 0
⇒ |A |+(-Υ)|I| = 0
⇒ (-Υ) 1 = 0
implies, Υ = 0
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