Method 1: See if its rank is 1, if it is 1, it can be written as a row (a) multiplied by a column (b), that is, A=ab. In this case, \(A^2\)=a(ba)b, note here ba is a number, can be proposed, that is, \(A^2\)=(ba)A;
Method 2: See if he can diagonalize, if there is, then there is a reversible matrix a, so that \(a^{-1}\)Aa=∧, so A=a∧\(a^{-1}\), \(A^2\)=a∧\(a ^{-1}\)a∧\(a^{-1}\)=a∧^\(2a^{-1}\); Finally, multiply by the most primitive method, multiply the matrix.
Choose the size of the matrix: 2*2
Enter 2*2 matrix:
2;5
4;2
Click "Calculate" to output the result
The square of the matrix:
24;20
16;24
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