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4 years ago

7

What times 4 equals 2/3

1 answer:

Darina [25.2K]4 years ago

5 0

To find the answer, you have to do 2/3 divided 4, which equals 2/12, which is the same as 1/6. You get the answer 1/6, because 2/3 divided 4 is the same as 2/3 times 1/4, and if you do the math, you get 2/12, and you simplify it to 1/6.
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What is the product

djverab [1.8K]

Answer:

The product of given matrix is $AB=\begin{pmatrix}7\\ 4\\ 2\end{pmatrix}$

Step-by-step explanation:

Given : Two matrix

$A=\begin{pmatrix}3&6&1\\ 2&4&0\\ 0&6&2\end{pmatrix}$

and $B=\begin{pmatrix}2\\ \:0\\ \:1\end{pmatrix}$

We have to find the product of given matrix

$AB=\begin{pmatrix}3&6&1\\ 2&4&0\\ 0&6&2\end{pmatrix}\begin{pmatrix}2\\ 0\\ 1\end{pmatrix}$

Multiply the rows of first matrix by the columns of second matrix , we have,

$\begin{pmatrix}3&6&1\end{pmatrix}\begin{pmatrix}2\\ 0\\ 1\end{pmatrix}=3\cdot \:2+6\cdot \:0+1\cdot \:1$

$\begin{pmatrix}2&4&0\end{pmatrix}\begin{pmatrix}2\\ 0\\ 1\end{pmatrix}=2\cdot \:2+4\cdot \:0+0\cdot \:1$

$\begin{pmatrix}0&6&2\end{pmatrix}\begin{pmatrix}2\\ 0\\ 1\end{pmatrix}=0\cdot \:2+6\cdot \:0+2\cdot \:1$

$=\begin{pmatrix}3\cdot \:2+6\cdot \:0+1\cdot \:1\\ 2\cdot \:2+4\cdot \:0+0\cdot \:1\\ 0\cdot \:2+6\cdot \:0+2\cdot \:1\end{pmatrix}$

On , simplifying , we get,

$AB=\begin{pmatrix}7\\ 4\\ 2\end{pmatrix}$

Thus, the product of given matrix is $AB=\begin{pmatrix}7\\ 4\\ 2\end{pmatrix}$

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