Вопрос
(14) Haunu zraterue boparneeture [ 2 A B+5 B^2+3 B A ] (16) A=(1 & 2 & 1 2 & -1 & 0 1 & 0 & 4)
Решения
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Ирина
мастер · Репетитор 5 летЭкспертная проверка
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(14) The expression \(2AB + 5B^2 + 3BA\) can be simplified by combining like terms. Notice that \(AB\) and \(BA\) are the same since matrix multiplication is commutative. Therefore, the expression simplifies to \(5B^2 + 5BA\).<br /><br />(16) To find the product of matrices \(A\) and \(B\), we multiply each element of row \(i\) of matrix \(A\) by the corresponding element of column \(j\) of matrix \(B\) and sum the results to get the element in row \(i\), column \(j\) of the product matrix. For example, the element in the first row and first column of the product matrix is \(1 \cdot 2 + 2 \cdot 3 + 1 \cdot 2 = 8\). Repeating this process for all rows and columns gives the product matrix \(AB\).
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