3
System: x+y=5, 2x+3y=11
Matrix form: [[1,1],[2,3]] × [x,y]^T = [5,11]^T
Determinant D = 1×3 -1×2=1
Dx = |5 1; 11 3|=5×3-1×11=15-11=4
Dy = |1 5; 2 11|=1×11-5×2=11-10=1
x = Dx/D = 4/1=4, y = Dy/D = 1/1=1
Answer:
x=4, y=1
Added 46 days ago|2/25/2026 8:23:47 AM
This answer has been confirmed as correct and helpful.
3
Given det(A)=5
Property: det(A^T)=det(A)
det(A^T)=5
Answer:
5
Added 46 days ago|2/25/2026 8:24:18 AM
This answer has been confirmed as correct and helpful.
