Math

QuestionHitung nilai P31P_{31} dari P=3[122415]P=3\begin{bmatrix}-1 & -2 \\ 2 & 4 \\ 1 & 5\end{bmatrix}.

Studdy Solution

STEP 1

Assumptions1. is a matrix given by $=3\left[\begin{array}{cc}-1 & - \\ &4 \\1 &5\end{array}\right]$ . We are asked to find the value of $_{31}$, which refers to the element in the3rd row and1st column of matrix .

STEP 2

First, we need to multiply the given matrix by the scalar.
=[122415] =\left[\begin{array}{cc}-1 & -2 \\2 &4 \\1 &5\end{array}\right]

STEP 3

Perform the multiplication to obtain the matrix $$.
=[36612315] = \left[\begin{array}{cc}-3 & -6 \\6 &12 \\3 &15\end{array}\right]

STEP 4

Now that we have the matrix $$, we can find the value of $_{31}$, which is the element in the3rd row and1st column.
31=3rd row,1st column_{31} =_{\text{3rd row,1st column}}

STEP 5

Find the value of 31_{31}.
31=3_{31} =3So, the value of 31_{31} is3.

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