||'''Book'''|| Linear Algebra ||
 ||'''Author'''|| Gilbert Strang ||
 ||'''Edition'''||  ||

/* code_begins */

{{{
reset()
var('a,b,c,theta')
A = matrix([[0,1,0],[0,0,1],[a,b,c]])
print "matrix A :"
show(A)
I = identity_matrix(3)
show(A-theta*I)
new = det(A-theta*I)
print "characteristic polynomial:"
show(expand(new))
print "given charecteristic polynomial"
show(-theta^3+4*theta^2+5*theta+6)
print "comparing the coefficients a = %d b = %d c = %d"%(6,5,4)
}}}

/* code_ends */

 * '''Solution by''': 
    * Tony Lijo Jose, student , govt engg college sreekrishnapuram
    * Syamkrishnan C K , student , govt engg college sreekrishnapuram
    * Joe Philip ninan , student , TIFR mumbai