Question: ,,,,...A,B,C,X,... - small latin letter - matrices; ,E,O - identity and zero matrices respectively (sizes are mentioned in context); Amn - matrix A of size

,,,,...A,B,C,X,... - small latin letter - matrices;

,E,O - identity and zero matrices respectively (sizes are mentioned in context);

Amn - matrix A of size mn, containsm rows and n olumns;

AT - transpose of A;

det,||,,detA,|A|,,n - determinant of matrix An;

(|)(A|B) - augmented matrix of the system: AX=B;

1A1 - inverse matrix of A;

(),()r(A),rank(A) - rank of matrix A.

Types of answers -- embedded answers, numerical answers, multiple choice. All numbers are integers. Empty cells have to be filled by integer numbers (together with its sign if number is negative). If result is {1;2;...;}x{a1;a2;...;an}, the elements of set form the increasing sequence: 1<2<...

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