Define the following matrix: X = |4 e 3 7 8 6 1 3pi 9] You will calculate a matr

Question

Define the following matrix: X = |4 e 3 7 8 6 1 3pi 9] You will calculate a matrix Y based on the components of X as follows: Y(i, j) = [Squareroot X (i, j) + 2]^2 If the calculated values of Y(i, J) is less than 10 or greater than 20, replace that value with zero. How many elements of Y are zero? What is the sum of the third column of Y? Use the code to calculate the number of nonzero elements in the matrix Z automatically, using the find and length functions. Z is defined as (18 times 18 matrix): Z = [Y Y Y Y Y Y]* [Y Y Y Y Y Y]

Explanation / Answer

%defining X array
X = [4 exp(1) 3;
    7 8 6;
    1 3*pi 9];

%defining Y array
Y = (sqrt(X) + 2).^2;

%intializing counter for zero elements and initialising sum
numzero = 0;
sumthird = 0;

%for loop to iterate through the values
for i = 1:size(Y, 1)
    for j = 1:size(Y, 2)
      
        %if the value is less than 10 or greater than 20, make it 0
        if Y(i,j)<10 || Y(i,j)>20
            Y(i,j) = 0;
        end
      
        %if the value is 0, increment the counter
        if Y(i,j) == 0
            numzero = numzero + 1;
        end
      
        %add the elements in the third column
        if j == 3
            sumthird = sumthird + Y(i,j);
        end
    end
end

%displaying values
disp(['The number of zero elements in Y: ', num2str(numzero)]);
disp(['The sum of elements in the third column in Y: ', num2str(sumthird)]);

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.