Answer:
2M will be:
![2\begin{pmatrix}3&5\\ -4&0\end{pmatrix}=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}](https://tex.z-dn.net/?f=2%5Cbegin%7Bpmatrix%7D3%265%5C%5C%20-4%260%5Cend%7Bpmatrix%7D%3D%5Cbegin%7Bpmatrix%7D6%2610%5C%5C%20-8%260%5Cend%7Bpmatrix%7D)
Therefore, the 2nd option is true.
Step-by-step explanation:
Given the matrix
![M=\begin{pmatrix}3&5\\ -4&0\end{pmatrix}](https://tex.z-dn.net/?f=M%3D%5Cbegin%7Bpmatrix%7D3%265%5C%5C%20-4%260%5Cend%7Bpmatrix%7D)
Multiplying by 2 will basically be a scalar multiplication.
Therefore, multiply each of the matrix elements by a scalar.
![2M=2\begin{pmatrix}3&5\\ \:-4&0\end{pmatrix}](https://tex.z-dn.net/?f=2M%3D2%5Cbegin%7Bpmatrix%7D3%265%5C%5C%20%5C%3A-4%260%5Cend%7Bpmatrix%7D)
![=\begin{pmatrix}2\cdot \:3&2\cdot \:5\\ 2\left(-4\right)&2\cdot \:0\end{pmatrix}](https://tex.z-dn.net/?f=%3D%5Cbegin%7Bpmatrix%7D2%5Ccdot%20%5C%3A3%262%5Ccdot%20%5C%3A5%5C%5C%202%5Cleft%28-4%5Cright%29%262%5Ccdot%20%5C%3A0%5Cend%7Bpmatrix%7D)
![=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}](https://tex.z-dn.net/?f=%3D%5Cbegin%7Bpmatrix%7D6%2610%5C%5C%20-8%260%5Cend%7Bpmatrix%7D)
Hence, 2M will be:
![2\begin{pmatrix}3&5\\ -4&0\end{pmatrix}=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}](https://tex.z-dn.net/?f=2%5Cbegin%7Bpmatrix%7D3%265%5C%5C%20-4%260%5Cend%7Bpmatrix%7D%3D%5Cbegin%7Bpmatrix%7D6%2610%5C%5C%20-8%260%5Cend%7Bpmatrix%7D)
Therefore, the 2nd option is true.
Answer:
is that the whole math question? I need a number after the < to solve this
Answer:
width is given, 7 m
height =4m
volume = L× B×H
find the length by applying Pythagoras in the top face.
i.e. L=√(25²-7²)=24m
V=7×4×24=672m³
Answer:
(4,-8)
Step-by-step explanation:
Where is the point on the opposite side of the y-axis?
The answer would be (4, -8)