Home

 Solve any problem (step by step solutions) Input table (Matrix, Statistics)
Mode :
SolutionHelp
Solution
Problem: minor [[10,-9,-12],[7,-12,11],[-10,10,3]] [ Calculator, Method and examples ]

Solution:
Your problem -> minor [[10,-9,-12],[7,-12,11],[-10,10,3]]

MINOR(A) =
MINOR
 10 -9 -12 7 -12 11 -10 10 3

minor of 10 = A_(11) =
 -12 11 10 3
=(-12) × 3 - 11 × 10=-36 -110=-146

minor of -9 = A_(12) =
 7 11 -10 3
=7 × 3 - 11 × (-10)=21 +110=131

minor of -12 = A_(13) =
 7 -12 -10 10
=7 × 10 - (-12) × (-10)=70 -120=-50

minor of 7 = A_(21) =
 -9 -12 10 3
=(-9) × 3 - (-12) × 10=-27 +120=93

minor of -12 = A_(22) =
 10 -12 -10 3
=10 × 3 - (-12) × (-10)=30 -120=-90

minor of 11 = A_(23) =
 10 -9 -10 10
=10 × 10 - (-9) × (-10)=100 -90=10

minor of -10 = A_(31) =
 -9 -12 -12 11
=(-9) × 11 - (-12) × (-12)=-99 -144=-243

minor of 10 = A_(32) =
 10 -12 7 11
=10 × 11 - (-12) × 7=110 +84=194

minor of 3 = A_(33) =
 10 -9 7 -12
=10 × (-12) - (-9) × 7=-120 +63=-57

The minor matrix of A is [A_(ij)]=
 A_(11) A_(12) A_(13) A_(21) A_(22) A_(23) A_(31) A_(32) A_(33)
=
 -146 131 -50 93 -90 10 -243 194 -57

Method-2 : all minors in matrix form

=
 -12 11 10 3
 7 11 -10 3
 7 -12 -10 10
 -9 -12 10 3
 10 -12 -10 3
 10 -9 -10 10
 -9 -12 -12 11
 10 -12 7 11
 10 -9 7 -12

=
 (-12) × 3 - 11 × 10 7 × 3 - 11 × (-10) 7 × 10 - (-12) × (-10) (-9) × 3 - (-12) × 10 10 × 3 - (-12) × (-10) 10 × 10 - (-9) × (-10) (-9) × 11 - (-12) × (-12) 10 × 11 - (-12) × 7 10 × (-12) - (-9) × 7

=
 -36 -110 21 +110 70 -120 -27 +120 30 -120 100 -90 -99 -144 110 +84 -120 +63

=
 -146 131 -50 93 -90 10 -243 194 -57

Solution provided by AtoZmath.com
Any wrong solution, solution improvement, feedback then Submit Here
Want to know about AtoZmath.com and me