Step-by-step solved example
A=[[2,1],[0,4]]. Find det A and A inverse.
1. Determinant
ad−bc=8−0=8.
2. Inverse
(1/8)[[4,−1],[0,2]].
Answer: det=8; A^{-1}=(1/8)[[4,−1],[0,2]]
A=[[2,1],[0,4]]. Find det A and A inverse.
1. Determinant
ad−bc=8−0=8.
2. Inverse
(1/8)[[4,−1],[0,2]].
Answer: det=8; A^{-1}=(1/8)[[4,−1],[0,2]]
1.det[[3,1],[2,4]] =
2.A is singular when
3.Cramer’s x = det(Ax)/det(A) replaces
4.det(kA) for 2×2 equals
5.Inverse of [[1,0],[0,2]] is
6.det(AB)=
7.Trace of [[4,1],[2,3]] is
8.Solving Ax=b with A^{-1} is
9.det[[0,1],[1,0]] =
10.A 2×2 rotation matrix has det