(1 point) suppose that aa is an n×mn×m matrix of rank 4,4, the nullity of aa is 2,2, and the column space of aa is a subspace of r8r8. Find the dimensions of aa.

Consider the following declarations (1, 2, 3, 5, 7)class bagtype{public: void set(string, double, double, double, double); void print() const; string getstyle() const; double getprice() const; void get(double, double, double, double); bagtype(); bagtype(string, double, double, double, double); private: string style: double l; double w; double h; double price; }; a.) write the definition of the number function set so that private members are set according to the parametersb.) write the definition of the member function print that prints the values of the data membersc.) write the definition of the default constructor of the class bagtype so that the private member variables are initialized to "", 0.0, 0.0, 0.0, 0.0, respectively d.) write a c++ statement that prints the value of the object newbag.e.) write a c++ statement that declares the object tempbag of type bagtype, and initialize the member variables of tempbag to "backpack", 15, 8, 20 and 49.99, respectively

The narrative structure of the popular movies can be broken down into

Need fast im timed in a paragraph of 125 words, explain at least three ways that engineers explore possible solutions in their projects.