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SVETLANKA909090 [29]
2 years ago
11

26%20%7B%203%20%7D%20%5C%5C%20%7B%205%20%7D%20%26%20%7B%204%20%7D%20%5Cend%7Barray%7D%20%5Cend%7Bbmatrix%7D%20%5Cbegin%7Bbmatrix%7D%20%5Cbegin%7Barray%7D%20%7B%20l%20l%20l%20%7D%20%7B%202%20%7D%20%26%20%7B%200%20%7D%20%26%20%7B%203%20%7D%20%5C%5C%20%7B%20-%201%20%7D%20%26%20%7B%201%20%7D%20%26%20%7B%205%20%7D%20%5Cend%7Barray%7D%20%5Cend%7Bbmatrix%7D" id="TexFormula1" title=" \large\begin{bmatrix} \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \end{bmatrix} \begin{bmatrix} \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { - 1 } & { 1 } & { 5 } \end{array} \end{bmatrix}" alt=" \large\begin{bmatrix} \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \end{bmatrix} \begin{bmatrix} \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { - 1 } & { 1 } & { 5 } \end{array} \end{bmatrix}" align="absmiddle" class="latex-formula">
Solve using matrix multiplication rule. Please help! No spam.​
Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
7 0

\huge \boxed{\mathbb{QUESTION} \downarrow}

\begin{bmatrix} \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \end{bmatrix} \begin{bmatrix} \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { - 1 } & { 1 } & { 5 } \end{array} \end{bmatrix}

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

\begin{bmatrix} \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \end{bmatrix} \begin{bmatrix} \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { - 1 } & { 1 } & { 5 } \end{array} \end{bmatrix}

In matrix multiplication, the number of columns in the 1st matrix is equal to the number of rows in the 2nd matrix.

\left(\begin{matrix}2&3\\5&4\end{matrix}\right)\left(\begin{matrix}2&0&3\\-1&1&5\end{matrix}\right)

Multiply each element of the 1st row of the 1st matrix by the corresponding element of the 1st column of the 2nd matrix. Then add these products to obtain the element in the 1st row, 1st column of the product matrix.

\left(\begin{matrix}2\times 2+3\left(-1\right)&&\\&&\end{matrix}\right)

The remaining elements of the product matrix are found in the same way.

\left(\begin{matrix}2\times 2+3\left(-1\right)&3&2\times 3+3\times 5\\5\times 2+4\left(-1\right)&4&5\times 3+4\times 5\end{matrix}\right)

Simplify each element by multiplying the individual terms.

\left(\begin{matrix}4-3&3&6+15\\10-4&4&15+20\end{matrix}\right)

Now, sum each element of the matrix.

\large\boxed{\boxed{\left(\begin{matrix}1&3&21\\6&4&35\end{matrix}\right) }}

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Solution :

Give that a shark can chase prey about 30 miles per hour.

1 hour = 60 minute

by using unitary method, we will convert miles per hour into miles per minute

in 60 minutes the shark can chase the prey 30 miles

In 1 minute the shark can chase \frac{30}{60}  miles = \frac {1}{2} miles= 0.5 miles

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F( y ) = y + y 2 - 3
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F(y) = y + y^2 - 3

f(-2) = -2 + (-2^2) - 3
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I need your help pls. And if your not oo busy I have another one I need help with thx <3
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