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IIpinvepbl 3K3aMenaution HbIX 3a/[a4 1. Aambi Marpunjsi A=(} 3&-1&4 6&3&5 )x F=(} 3&-2&7 -1&5&-5 -4&0&-6 2&-3&-1

Вопрос

IIpinvepbl 3K3aMenaution HbIX 3a/[a4 1. Aambi Marpunjsi A=(} 3&-1&4 6&3&5 )x F=(} 3&-2&7 -1&5&-5 -4&0&-6 2&-3&-1

Решения

4.2 (254 Голоса)
Якова
Экспертная проверка
ветеран · Репетитор 10 лет

Ответ

a) Marpuny To find the product of matrices and , we need to multiply each element of matrix by the corresponding element of matrix and then sum the products. Now, we need to subtract 3 times matrix from the resulting matrix. Therefore, the result of the operation is the matrix .b) paHT Marpinist FThe matrix is already given in the question. It is a matrix: c) To find the inverse of matrix , we need to use the formula for the inverse of a matrix: where is the determinant of matrix and is the adjugate of matrix .First, let's calculate the determinant of matrix : Now, let's calculate the adjugate of matrix : where is the cofactor of the element in the -th row and -th column of matrix .Calculating the cofactors, we get: , , $D_{21} = \begin{vmatrix} -1 & 7 \\ 0 &