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erik [133]
3 years ago
15

What is the product

Mathematics
2 answers:
hammer [34]3 years ago
8 0

Answer: The product is \left[\begin{array}{ccc}7\\4\\2\end{array}\right]

Step-by-step explanation:

Since we have given that

\left[\begin{array}{ccc}3&6&1\\2&4&0\\0&6&2\end{array}\right] \times \left[\begin{array}{ccc}2\\0\\1\end{array}\right]

As we know the way to multiply in case of matrices.

Since the order of first matrix is 3×3

And the order of second matrix is 3 × 1

So, the order of the product matrix is 3 × 1

So, the product becomes

\left[\begin{array}{ccc}3&6&1\\2&4&0\\0&6&2\end{array}\right] \times \left[\begin{array}{ccc}2\\0\\1\end{array}\right]\\\\=\left[\begin{array}{ccc}3\times 2+6\times 0+1\times 1\\2\times 2+4\times 0+0\times 1\\0\times 2+6\times 0+2\times 1\end{array}\right] \\\\=\left[\begin{array}{ccc}7\\4\\2\end{array}\right]

Hence, the product is \left[\begin{array}{ccc}7\\4\\2\end{array}\right]

djverab [1.8K]3 years ago
4 0

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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nalin [4]

Answer:

x = 30 and x = 3 both solve the equation correctly. See work below.

Step-by-step explanation:

The very first step is to realize that p(x) is in hundreds of dollars and that the given number is not. 60000 is not in hundreds of dollars. It is in dollars. 60000 dollars = 60000/100 = 600 hundreds of dollars.

Make the polynomial = 600

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(30 - x)(30 + x) (x - 3) = 0

The two answers that work are

30 - x = 0                           Solve

- x = - 30                            Divide by - 1

-x/-1 = -30/-1                       Combine                          

x  = 30

============

x - 3 = 0

x = 3

===========

There are two values that will work to give p(x) = 600. There is no way to account for why both values work.

The graph below confirms both answers.


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