%Your first and last name:

%Your 810/811 number:

%Lab 06

%Your task for this lab assignment is to correctly implement

%the functions called by typeofmatrix:

% issquare, isdiagonal, isidentity,

% isuppertriangular, islowertriangular, and iszero

%based on their comments, provided code, and examples.

%The function typeofmatrix assumes arg1 is the name of the file

%in the current working directory that contains A's elements,

%where A is a matrix.

%The function typeofmatrix is already implemented for you to have

%consistent I/O with our examples. After you finish implementing

%the functions aforementioned, you should not change the source

%code in typeofmatrix.

function [] = typeofmatrix(arg1)

A = readmatrix(arg1);

display(A);

print("issquare(A)", issquare(A));

print("isdiagonal(A)", isdiagonal(A));

print("isidentity(A)", isidentity(A));

print("isuppertriangular(A)", isuppertriangular(A));

print("islowertriangular(A)", islowertriangular(A));

print("iszero(A)", iszero(A));

end

%Return true if A is a square matrix;

%otherwise return false.

%You may use Matlab's size function, but

%no other Matlab functions can be used to

%implement this function.

function [output] = issquare(A)

[m, n] = size(A);

if m == n

output = true;

else

output = false;

end

end

%Return true if A is a diagonal matrix;

%otherwise return false.

%You may use Matlab's size function and

%Matlab's matrix notation, but NO other built-in

%Matlab functions can be used to implement this function.

%You may call other functions you implement for

%this lab assignment.

function [output] = isdiagonal(A)

[m, n] = size(A);

output = true;

for i = 1:m

for j = 1:n

if i ~= j && A(i,j) ~= 0

output = false;

break;

end

end

if output == false

break;

end

end

end

%Return true if A is an identity matrix;

%otherwise return false.

%You may use Matlab's size function and

%Matlab's matrix notation, but NO other built-in

%Matlab functions can be used to implement this function.

%You may call other functions you implement for

%this lab assignment.

function [output] = isidentity(A)

[m, n] = size(A);

if m ~= n

output = false;

else

output = true;

for i = 1:m

for j = 1:n

if i == j && A(i,j) ~= 1

output = false;

break;

elseif i ~= j && A(i,j) ~= 0

output = false;

break;

end

end

if output == false

break;

end

end

end

end

%Return true if A is an upper triangular matrix;

%otherwise return false.

%You may use Matlab's size function and

%Matlab's matrix notation, but NO other built-in

%Matlab functions can be used to implement this function.

%You may call other functions you implement for

%this lab assignment.

function [output] = isuppertriangular(A)

[m, n] = size(A);

output = true;

for i = 1:m

for j = 1:n

if i > j && A(i,j) ~= 0

output = false;

return

end

end

end

end

%Return true if A is a lower triangular matrix;

%otherwise return false.

%You may use Matlab's size function and

%Matlab's matrix notation