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]
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}

You might be interested in
Bob deposits $3000 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the
Setler [38]

Answer:

He will have paid 750 interest in the first five years.

Step-by-step explanation:

SI = P×R×T/100

3000 x 5 x 5 divided by 100

75000 / 100 = 750

4 0
3 years ago
Pythagorean triples are given by the formulas x2 - y2, 2xy, and x2 + y2. Use the formulas for the Pythagorean triples to prove w
Arte-miy333 [17]
Let k be an integer. Suppose there is a triangle with legs of length 16 and 2k+1. Then by the Pythagorean theorem, the length of the hypotenuse should be

\sqrt{16^2+(2k+1)^2}=\sqrt{4k^2+4k+257}

The formulas for Pythagorean triples say that if the legs are integers, then so must be the hypotenuse, because if x=16 and y=2k+1 are integers, then so are x^2-y^2, 2xy, and x^2+y^2.

However, 4k^2+4k+257 is not a perfect square trinomial, which means for any integer k, the length of the hypotenuse is not an integer, so such a triangle doesn't exist.
4 0
3 years ago
antonio's father bought tickets to the planetarium he bought 5 tickets each ticket cost $14 what was the total cost for the 5 ti
Deffense [45]
$70
Multiply 14×5 for the answer beacuse
1 ticket=14, so 5 tickets would be $70
4 0
3 years ago
ILL BRAINLIEST YOU IF YOU PLEASE HELP ME
mr Goodwill [35]

Answer:

15 < x < 31

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

23 - 8 < x < 23 + 8

15 < x < 31

3 0
2 years ago
Read 2 more answers
For a recent report on sleep deprivation, the Centers for Disease Control and Prevention interviewed 11600 residents of Californ
Pani-rosa [81]

Answer:

H0: p1-p2=0

Ha: p1-p2≠0

This hypotheses can be written as

H0: p1=p2

Ha: p1 ≠p2  

Step-by-step explanation:

Here the claim is if these data provide strong evidence the rate of sleep deprivation is different for the two states which will be formulated as alternate hypothesis .

Ha: p1-p2≠0  

The null hypothesis is

H0: p1-p2=0  i.e these data  do not provide strong evidence the rate of sleep deprivation is different for the two states.

where p1  =   as population 1 of California

p2= as population 2 of Oregon

This hypotheses can be written as

H0: p1=p2

Ha: p1 ≠p2  

which will also give the same results as above and a two tailed test will be performed for both hypotheses.

4 0
3 years ago
Other questions:
  • Write an equation for the line parallel to the given line that contains <br> C(4,8);y=-3x+4
    14·1 answer
  • What is the median of this set 14, 18, 31, 34, 44, 50
    11·2 answers
  • Find an equivalent percent for 7/10
    5·2 answers
  • Lynnette can wash 959595 cars in 555 days.<br> How many cars can Lynnette wash in 111111 days?
    7·2 answers
  • Coyne Corporation is evaluating a capital investment opportunity. This project would require an initial investment of​ $36,000 t
    13·1 answer
  • PLEASE HELP I'M DESPERATE &lt;3
    11·2 answers
  • p(x) is a polynomial with integer coefficients and p(-3) = 0. Which statements must be true? Choose all that apply. x - 3 is a f
    6·1 answer
  • Find the area of a rectangle if length = 2a + b and breadth = 3a + c
    13·2 answers
  • There are 273 students in the 7th grade. If the
    12·2 answers
  • If g (x) = 3x²-4, then find g (-3)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!