Given a matrix "A", how to create a row vector of 1s that has the same number of elements as "A" has rows?

316 views (last 30 days)
Given a matrix "A", do the following things:
  1. Create a row vector of 1's that has the same number of elements as "A" has rows.
  2. Create a column vector of 1's that has the same number of elements as "A" has columns.
  3. Using matrix multiplication, assign the product of the row vector, the matrix "A", and the column vector (in this order) to the variable "result".
A = [1:5; 6:10; 11:15; 16:20];

Accepted Answer

Manali Gupta
Manali Gupta on 21 Oct 2024
Edited: MathWorks Support Team on 21 Oct 2024
Given a matrix "A", you can find the number of rows of A by using "size(A,1)". You can find the number of columns of "A" by using "size(A,2)". You can then use "ones" to create a row or column vector of 1's. Finally, use the "mtimes" or * operator to perform matrix multiplication. 
A = [1:5; 6:10; 11:15; 16:20]; row_vector = ones(1,size(A,1)); column_vector = ones(size(A,2),1); result = row_vector*A*column_vector;
For more information about learning the basics of MATLAB®, see MATLAB Onramp
  4 Comments

Sign in to comment.

More Answers (11)

Alex Mcaulley
Alex Mcaulley on 4 Jun 2019
I think the goal of this forum is not to do anyone's homework, but to solve generic questions about Matlab that can help more users. This exercise is very simple, anyone who has ever used Matlab could do it, so, I think the best thing we can do is help @Gaurav to know how to learn the basics of Matlab.
  2 Comments
Carlo Romagnolo
Carlo Romagnolo on 19 Apr 2021
Hi! I know this might be a long a shot, as this thread has been inactive for quite some time, but I was wondering if you could help me with a general question on this.
Here is my code to solve this problem:
A = [1:5; 6:10; 11:15; 16:20];
format compact
row = [1,1,1,1]
column = [1;1;1;1;1]
result = row * A * column
I was wondering if there is a better/more elegant way to answer the question which does not involve hardcoding the row and column vectors but instead uses functions.

Sign in to comment.


Khom Raj Thapa Magar
Khom Raj Thapa Magar on 28 Aug 2020
Edited: DGM on 21 Feb 2023
% Given
A = [1:5; 6:10; 11:15; 16:20];
row_vec = ones(1,size(A,1))
row_vec = 1×4
1 1 1 1
column_vec = ones(length(A),1)
column_vec = 5×1
1 1 1 1 1
result = row_vec * A * column_vec
result = 210
  1 Comment
DGM
DGM on 21 Feb 2023
The length() function does not return the number of columns in an array. It returns the size of the longest dimension. If A has more rows than columns, this code will fail. Use size() to get the size of a specific dimension.

Sign in to comment.


Sudhanshu Rasal
Sudhanshu Rasal on 5 May 2020
Edited: DGM on 21 Feb 2023
Simple way to do this question is
X=[1 1 1 1]
Y=[1;1;1;1;1]
result=X*A*Y
????????
  3 Comments
DGM
DGM on 21 Feb 2023
Edited: DGM on 21 Feb 2023
The point of writing a program is to have the computer do the work. Literally writing out the vectors manually makes as much sense as calculating the inner product on paper and writing
result = 210; % this is my entire program
Both examples will fail for obvious reasons if the size of A changes.

Sign in to comment.


Tushar Parmar
Tushar Parmar on 11 May 2020
A = [1:5; 6:10; 11:15; 16:20]
B(1:4)=1;
f=B*A
C(1:5)=1;
C=C'
result=f*C
  6 Comments
DGM
DGM on 21 Feb 2023
The point of writing a program is to have the computer do the work. Use size() to find the size of A; use ones() to generate the vectors programmatically.

Sign in to comment.


Arakala Gautham
Arakala Gautham on 4 Apr 2020
R_vector = ones(1,size(A,1));
C_vector=ones(size(A,2),1);
result = R_vector*A*C_vector;
  5 Comments

Sign in to comment.


Rishabh Nirala
Rishabh Nirala on 20 May 2020
Edited: DGM on 21 Feb 2023
A = [1:5; 6:10; 11:15; 16:20];
C = [1;1;1;1;1]
R = [1 1 1 1 ]
P = R * A
result = P*C
ANSWER = 210
  1 Comment
DGM
DGM on 21 Feb 2023
Again, the point of writing a program is to have the computer do the work. Use size() to find the size of A; use ones() to generate the vectors programmatically.

Sign in to comment.


Sneham Shrikant Vaidya
Sneham Shrikant Vaidya on 27 May 2020
Edited: DGM on 21 Feb 2023
A = [1:5; 6:10; 11:15; 16:20];
A
x = [1 1 1 1 ]
y = [1;1;1;1;1]
z = A*y
result =x*z
you can also perform this way as we know z =(lxm)*(mxn) so we first multiply A*y as their inner dimension ara same
then we obtain result matrix z that has inner dimension equal to x so now we can multiply x*z to get final ans
  1 Comment
DGM
DGM on 21 Feb 2023
Use size() to find the size of A; use ones() to generate the vectors programmatically. Otherwise, this fails if the size of A changes.
Adding explanations to your answers is good though.

Sign in to comment.


VISHWA D
VISHWA D on 22 Jun 2020
A = [1:5; 6:10; 11:15; 16:20];
row_vector=[1 1 1 1 1]
col_vector=[1; 1; 1; 1]
result=(row_vector*(A'))*(col_vector)
  2 Comments
lijuan wang
lijuan wang on 27 Aug 2020
I thought the assignment has a wrong requirement, right?
we should create a vector which has the some rows as A. So it should be row_vector=[1 1 1 1]'?
DGM
DGM on 21 Feb 2023
Edited: DGM on 21 Feb 2023
@lijuan wang is correct. This answer creates the vectors incorrectly. Not only are they created manually in a way that would break if the size of A changes, they do not correspond to the specified dimensions of A. The result is correct, but the vectors are wrong, and the method is poor practice.

Sign in to comment.


Chintan
Chintan on 21 Feb 2023
row_vector=ones(size(A(:,1)))'
coloumn_vector=ones(size(A(1,:)))'
result=row_vector*A*coloumn_vector
  1 Comment
DGM
DGM on 21 Feb 2023
I suppose that's one way, but size() supports dimension specification, which would avoid the need to address vectors of A or to transpose anything.
Also note that the ctranspose, ' operator is the complex conjugate transpose. If you just want to reorient a vector or matrix, use transpose, .' instead.

Sign in to comment.


Waseem Zafar
Waseem Zafar on 17 Sep 2023
Edited: Waseem Zafar on 17 Sep 2023
A = [1:5; 6:10, 11:15; 16:20]
R = [1 1 1 1]
C = [1;1;1;1;1]
Z = A*C
result = R*Z
  1 Comment
DGM
DGM on 17 Sep 2023
This example is identical to at least two other bad examples in this thread, differing only in the variable names.
You are told to use the size of A to construct two vectors. This example, and at least four others define the vectors literally instead of programmatically creating them as told. Let me be clear. You literally wrote two of the intermediate results into the script instead of making your script calculate them. If I were grading this, I would accept it no more than if you had just written
result = 210;
... because it neglects the entire point of the exercise to presuppose the input and bake the results into the script as literals.
An answer can earn its place if it demonstrates something either good or bad, but there is no value in duplicate, unformatted, unexplained answers with obvious, openly-discussed flaws. It doesn't add anything to the discussion and only serves to confuse readers who are looking for help.
Is there always room left in a thread for another answer that's not a near-duplicate? No. Sometimes it's not. Is this question completely exhausted? Not sure, but with extremely simple direct questions, it doesn't take long. If you want to answer questions, pick a thread where there is still room for a new answer.

Sign in to comment.


asmaa
asmaa on 2 Feb 2024
Task
Create a row vector named d that contains sqrt(10) as the first element and pi^2 (
π2
) as the second elemen

Categories

Find more on Creating and Concatenating Matrices in Help Center and File Exchange

Products

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!