University:
University of Michigan
Course:
STATS 125 | Statistics, Games and Coincidences
Academic year:

2022
Views:

275

Pages:

8
Author:

AuroraAvenger

Inverse of matrix: steps: Find Al If Al ≠0: Alexists. 3 find adjoint A. 4 ATAT adj A A= * Find inverse of matrix: [] A=[2 23 47 1M = 1243 = 14-12 = 2 A A≠0 Hence, At exist. adj A = -3 -42 * Adjoint of matrix: Q. find adjoint of matrix: 12 34 ⇒ A= 127 adjA=4-2 -31 A = + 4 A12 = -3 A21 = -2 A22 = + 1 Cofactor matrix = C = 4-3 -21 adj A = c = 4-2 -31 * A=2 adjA= -23 B=52 adj B = * A=8ady A = [ 2 05 B=⇒ayB= B=-73 -49 1-2 adj * find adjoint of matήχι: Γι 23 245 356 All = + 45+ (24-25) = -1 195 A12=-135=-(12-15)=3 AB=+24= +(10-12) = 35 -2 Az=-127=-(12-15)=3 56 + A22=+13= +(6-9)=1-3 36 Ar3=-13=-(5-6)=1 A31 =+24= + (10-12) = -2 43 A32=-113=-(5-6) = 11 25 A33=+12=+(4-4) = 0 124 Cofactor matrix = C = 13-2 3-31 adj A = = 13-2 1 3-31 210 * find adjoint of matήχι: Γι 23 245 356 All = + 45+ (24-25) = -1 195 A12=-135=-(12-15)=3 AB=+24= +(10-12) = 35 -2 Az=-127=-(12-15)=3 56 + A22=+13= +(6-9)=1-3 36 Ar3=-13=-(5-6)=1 A31 =+24= + (10-12) = -2 43 A32=-113=-(5-6) = 11 25 A33=+12=+(4-4) = 0 124 Cofactor matrix = C = 13-2 3-31 adj A = = 13-2 1 3-31 210