Problemas
Let C=[} 2&-1 0&1 ] Find DC if it is defined. Otherwise,click on "Undefined". DC=square
Roztwór
Miguel
maestro · Tutor durante 5 años
4
(163 Votos)
Respuesta
To determine if the product
is defined, we need to check the dimensions of the matrices
and
.Matrix
is a
matrix:
Matrix
is also a
matrix:
Since both matrices are
, the product
is defined and will also be a
matrix.Now, let's calculate the product
:
To find each element of the resulting matrix, we use the formula for matrix multiplication:
Let's calculate each element:1. \( (DC)_{11} = 7 \cdot 2 + (-4) \cdot 0 = 14 \)2. \( (DC)_{12} = 7 \cdot (-1) + (-4) \cdot 1 = -7 - 4 = -11 \)3. \( (DC)_{21} = -3 \cdot 2 + 4 \cdot 0 = -6 \)4. \( (DC)_{22} = -3 \cdot (-1) + 4 \cdot 1 = 3 + 4 = 7 \)So, the resulting matrix
is:
Thus, the final answer is: