1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erik [133]
2 years ago
15

What is the product

Mathematics
2 answers:
hammer [34]2 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]2 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}

You might be interested in
Ed works 5.8 hours each day ,if ed make 8$ per hour how much will he ear in 60 days
Nina [5.8K]

Answer: he will make $2784 in 60 days

5 0
3 years ago
Read 2 more answers
Find the edge length of the cube Volume = 0.064 m^3<br><br>​
Eva8 [605]
The edge length of the cube is 0.4
3 0
3 years ago
Read 2 more answers
Which expression below has the same value as<br> 6<br>9?​
Ksenya-84 [330]

Which expression below has the same value as

6

9?​

Answer:

answer is c no because 9 power six so, we have to write 9 number 6 times

PLZ GIVE BE BRAINLIEST ANS+THANKS :(

3 0
2 years ago
Read 2 more answers
How can i draw this?
mylen [45]
The green arrow thing is a ray. So, question b. is a ray. So the dot would be B and the arrow would be C. 

3 0
3 years ago
An airplane is flying at an altitude of 3,500 feet. It drops 680 feet, and then rises 725 feet. At what altitude is the airplane
Svetradugi [14.3K]
3,500-680= 2,820 feet
2,820+725= 3,545 feet

ANSWER:
3,545 feet
5 0
2 years ago
Other questions:
  • Could i have some help? day 4 of online school and im already so confused lol..
    6·1 answer
  • Ben drinks tea at an incredible rate. He drinks 3.5 loiters of tea every 2/3 of an hour. How many of liters of tea does he drink
    10·2 answers
  • 54/6 simplify and show your work?
    15·2 answers
  • What is the inverse of the function f(x) = 6x-5/x+9
    6·1 answer
  • Five people per 1000 square feet are allowed to enter a building Whose total dimensions is 180,000 square feet How many people c
    12·1 answer
  • Help!! hard quiz 1 Jood ran 22 miles. Lora ran 14 miles more. How much did lora run?
    9·2 answers
  • The graph of y = 3x - 4
    14·1 answer
  • Can some also explain it to me how to identify if it’s continuous exponential
    12·1 answer
  • Which statement is not true in the<br> equation<br> y = 0.5x?
    6·1 answer
  • Find the height of the building shown.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!