Related InterviewSolutions

• If `A=[[2,-2,-4],[-1,3,4],[1,-2,-3]]` then A is `1) an idempotent matrix 2) nilpotent matrix 3) involutary 4) orthogonal matrixA. nonsingularB. idempotentC. nilpoptentD. orthogonal
• Use matrix method to show that the system that the system of equation `2x+5y=7` `6x+15y=13` is inconsistent
• 6x-9y-20z=-4 4x-15y+10z=-1 2x-3y-5z=-1
• Use matrix method to show that the following system of equation is inconsistent 3x-y+2z=3 2x+y+3z=5 x-2y-z=1
• An amount of Rs 5000 is put into three investments at the rate of interest of `6%,7% and 8%` per annum respectively. The total annual income is Rs 358. If the combined income from the first taoinvestments is Rs 70 more than the income from the third, find the amount of each investment by matrirx method
• Given `A=[{:(1 " "-1 " "1),(1 " "-2 " "-2),(2 " "1 " "3):}] and B=[{:(-4 " "4" "4),(-7 " "1 " "3),(5 " "-3 " "-1):}]`, find AB and use this result in solving the following system of equation x-y+z=4, x-2y-2z=9 2x+2y+3z=1
• The sum of three numbers is 6. If we multiply the third number 2 andadd the first number to the result, we get 7. Be adding second and thirdnumbers to three times the first number we get 12. Use determinants to findthe numbers.
• x-y+z=1 2x+y-z=2 x-2y-z=4
• 2x+8y+5z=5 x+y+z=-2 x+2y-z=2
• If `A=[(1,2,-3),(2,3,2),(3,-3,-4)]` then find `A^-1` and hence solve the follwoing equations: `x+2y-3z=4, 2x+3y+2z=2 and 3x-3y-4z=11`