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 &