AI Tutor
Back to Linear Algebra in a Nutshell

Exercise 18

Avg difficulty 2.5

Find the inverse (if it exists) of each of the matrices AA in Finding Inverses. that is, find the matrix A−1A^{-1} such that AA−1=A−1A=IA A^{-1} = A^{-1} A = I, where I=(1001).I = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}.

A=(−34−25)\displaystyle A = \begin{pmatrix} -3 & 4 \\ -2 & 5 \end{pmatrix}

Judson, The ODE Project, §3.1 Linear Algebra in a Nutshell, Exercise 18

AI Tutor

Adapted from The ODE Project © 2019–2025 Thomas W. Judson. Licensed under CC BY 4.0. Source: The ODE Project. Imported at revision 7935458.