What is 2M? M=[3 5] [-4 0]

Question

asked Apr 13, 2021 182k views

1 Answer

Anatoly Strashkevich · Answer 1 · 2021-04-18T22:12:42+0000

Answer:

2M will be:

$2\begin{pmatrix}3&5\\ -4&0\end{pmatrix}=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}$

Therefore, the 2nd option is true.

Explanation:

Given the matrix

$M=\begin{pmatrix}3&5\\ -4&0\end{pmatrix}$

Multiplying by 2 will basically be a scalar multiplication.

Therefore, multiply each of the matrix elements by a scalar.

$2M=2\begin{pmatrix}3&5\\ \:-4&0\end{pmatrix}$

$=\begin{pmatrix}2\cdot \:3&2\cdot \:5\\ 2\left(-4\right)&2\cdot \:0\end{pmatrix}$

$=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}$

Hence, 2M will be:

$2\begin{pmatrix}3&5\\ -4&0\end{pmatrix}=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}$

Therefore, the 2nd option is true.