Question

Question:Matrix Notation Interpreter (matrix elements to cell array of formatted character vectors)

Matlab question

Matrix Notation Interpreter (matrix elements to cell array of formatted character vectors) A system of linear algebraic equations can be writen in matrx notation by applying the definizion of matrix multiplication. For example, the linear system Can be writen as or where and x = 2 matrix input ror the variable A and a × T e function command dennes the output variable linearSystem Code has alread been provided to define a runcion named natrix Interpreter that accepts a matri input forthe vart ble b Add commands to use the values in the input variables A and b to build a single column cell array of character vectors where the first cell contains a character vector defining the first equation in the system and the second cell contains a character vector defining the second equaton n e s stem ss n this stinn o t e output a able nearSys en spaces in he character vectors de ining e e Lations For example w n the above system ofe u ns example țhe unct Inputs would be o no ї se a defined as A - [3 -2; 2 41 b - [S -21 The cell array output of the function would be Your code should work for any integer values of the inputs A and b including possible negative values in order to pass all the test cases. Your Function MATLAB Documentation C Reset 1 function [linearsystem] atrixInterpreter(A, b) Enter the commands for your function here. Be sure to assign values Jİ%to the output variable linearsysten defined in the function command on line 1 Code to call your function С Reset A -13 -2; 2 4: 2b[5-2] 3linearSysten matrixInterpreter(A, b) Run Function Output Run Pretest Submit Is output variable linearSystem correct for example inputs given in the problem statement? (Pretest) Is output correct for randomly generated values in the input variables?

Answer 1

% function to build a single column cell array of character vectors where
% the first cell contains a cell vector defining the first equation in the
% system and second cell contains a cell vector defining the first equation in the
% system
function [linearSystem] = matrixInterpreter(A,b)
linearSystem = {};
% loop over the rows of A and assign equations to linearSystem
for i =1:size(A,1)
eq = strcat(num2str(A(i,1)),'x');
if(A(i,2) < 0) % if A(i,2) is negative don't insert + sign
eq = strcat(eq,num2str(A(i,2)),'y');
else
eq = strcat(eq ,'+',num2str(A(i,2)),'y');
end
eq = strcat(eq, '=', num2str(b(i)));
linearSystem{i,1} = eq;
end
end

%end of function

Output:

>>A [3,-22,41 >5-21: >> linearSystem matrixInterpreter (A, b) linearSystem 2x1 cell array f'3x-2y-5' ('2x+4y-2')