Book
Linear Algebra
Author
Gilbert Strang
Edition
a = var('a') b=var('b') c=var('c') d=var('d') A = matrix([[a,b],[c,d]]) print A, print " = A" print "------------------" I = matrix([[1,0],[0,1]]) print I, print " = I" print "------------------" #C = matrix([[1,0.5],[-0.5,-1]]) B = A*A print B, print " but given that, b = 1/2, substituting the given value we get " #A = matrix([[a,0.5],[c,d]]) B = A*A print B print " by solving equations with I, we get a=-d and c=(1-a^2)/0.5" print "=================================================" print " similarly for A^2 = A " print " by solving equations for A^2 = A, we get either a=d or a=-d and c=(a-a^2)/0.5" print "================================================="
Solution by:
- Ch.Sandeep, student, GITAM University
- V.Vishnu Sarma, student, GITAM University