A total amount of Rs7000 is deposited in three different saving bank accounts with annual interest rates 5%, 8% and 8 1/2% respectively. The total annual interest from these three accounts is 550 RUPEES. Equal amounts have been deposited in the 5% and 8% savings accounts. Find the amount deposited in each of the three accounts using matrix method. Share with your friends Share 51 Rishabh Mittal answered this Let the amount deposited in the saving bank account with interest rate 5%=x.Let the amount deposited in the saving bank account with interest rate 8%=y.Let the amount deposited in the saving bank account with interest rate 172%=z.A.T.Qx+y+z=70005100x+8100y+17200z=550x=y ⇒ x-y=0These equations can be expressed as AX=B.Where A=11151008100172001-10, X=xyz and B=70005500A=117200-1-17200+1-13100=17+17-26200=8200≠0So, A is nonsingular matrix and inverse exists.A11=17200 A11=17200 A11=-13100 A11=-1 A11=-1 A11=2 A11=1200 A11=-7200 A11=3100 adj A=17200-1 120017200-1 -7200-13100 2 3100 A-1=1Aadj A=200817200-1 120017200-1 -7200-13100 2 3100X=A-1B=200817200-1 120017200-1 -7200-13100 2 310070005500 =20084545190=9000890008380008=112511254750the amount deposited in the saving bank account with interest rate 5%=Rs.1125.the amount deposited in the saving bank account with interest rate 8%=Rs.1125.Let the amount deposited in the saving bank account with interest rate 172%=Rs.4750. 60 View Full Answer