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
dem82 [27]
3 years ago
9

Is matrix multiplication comutative?

Mathematics
1 answer:
konstantin123 [22]3 years ago
6 0

Answer:

Matrix multiplication is not conmutative

Step-by-step explanation:

The matrix multiplication can be performed if the number of columns of the first matrix is equal to the number of rows of the second matrix

Let A with dimension mxn and B with dimension nxp represent two matrix

The multiplication of A by B is a matrix C with dimension mxp, but the multiplication of B by A is can't be calculated because the number of columns of B is not the number of rows of A. Therefore, you can notice that is not conmutative in general.

But even if the multiplication of AB and BA is defined (For example if A and B are squared matrix of 2x2) the multiplication is not necessary conmutative.

The matrix multiplication result is a matrix which entries are given by dot product of the corresponding row of the first matrix and the corresponding column of the second matrix:

A=\left[\begin{array}{ccc}a11&a12\\a21&a22\end{array}\right]\\B= \left[\begin{array}{ccc}b11&b12\\b21&b22\end{array}\right]\\AB = \left[\begin{array}{ccc}a11b11+a12b21&a11b12+a12b22\\a21b11+a22b21&a21b12+a22b22\end{array}\right]\\\\BA=\left[\begin{array}{ccc}b11a11+b12a21&b11a12+b12a22\\b21a11+b22ba21&b21a12+b22a22\end{array}\right]

Notice that in general, the result is not the same. It could be the same for very specific values of the elements of each matrix.

You might be interested in
The wholesale price for a desk is $108. A certain furniture store marks up the wholesale price by 14%. Find the price of the des
dexar [7]
I NEED THIS ANSWER TOO
5 0
2 years ago
If f(x)=6(x-2), find f(5)
Ne4ueva [31]

Answer:

f(5) = 6(5 - 2) = 6(3) = 18

Step-by-step explanation:

You're asked to "evaluate" f(x)=6(x-2) when x = 5.

To do this, replace both instances of x with 5:  f(5) = 6(5 - 2) = 6(3) = 18

7 0
3 years ago
Read 2 more answers
Chris is trimming trees. He can trim 2/3 of a tree in 1/2 of an hour. At what rate can Chris trim trees
sergejj [24]

the answer should be 1 1\3 that equals one hour.

5 0
3 years ago
Can anyone help me on this question?
slavikrds [6]
Cant view the picture
7 0
3 years ago
Read 2 more answers
To get from one town to another, Jack must travel 7 miles east and 24 miles south. What is the direct distance between the two t
Step2247 [10]
The 7 miles and 24 miles make up two "legs" of a right triangle.
The third side (or hypotenuse) is the distance between the towns.
distance^2 = 7^2 + 24^2
distance^2 = 49 + 576
distance^2 = 625
distance = square root of 625 or 25
3 0
3 years ago
Other questions:
  • If you roll two fair dice​ (one black die and one white​ die), in how many ways can you obtain a sum of at most 11?
    8·2 answers
  • Find the area of a sector with a central angle of 140° and a diameter of 9.6 cm. Round to the nearest tenth.
    11·1 answer
  • Add using the number line. 7+(−10) Drag and drop the word SUM to the correct value on the number line.
    10·1 answer
  • Miles is planning to spend 2/3 as many hours Bicycling this week as he did last week is Miles going to spend more hours were few
    10·1 answer
  • What is f(4) = 4x^2 - x
    13·2 answers
  • HELPPPPPPPPPPPPPPPPPPPPPPPP
    8·2 answers
  • The figure is made up of 2 rectangles and 2 right triangles.
    9·2 answers
  • Find the surface area of the triangular prism shown below.
    7·2 answers
  • Jennifer opened a savings account with $750. She earned $75 in interest after 2 years. What is the interest rate?
    5·1 answer
  • Choose all that apply: Which angle measurements are supplementary to each other?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!