Ryabushko A.P. AZ_1_3

Inverse matrices. Matrix rank.
No. 1. Find the matrix A⁻¹, the inverse of the given matrix A.
No. 2. Find the rank of a matrix using elementary transformations or the method of bordering minors and indicate some basic minor.
№ 3. Knowing the main matrix A and the extended matrix B, write down the corresponding system of linear algebraic equations and decide whether it is compatible or not, using the Kronecker-Capelli theorem.