Tuesday

March 31, 2015

March 31, 2015

Posted by **Max 2** on Saturday, October 10, 2009 at 10:36am.

(2) Write a program to multiply any two matrices. (Using Basic)

and finally,

(3) Consider the algebraic expression E=(2x+y)(5a-b)^3. Draw the tree T which correspond to the expression E and find the pre-order traversal of T.

- Programming & Algorithm -
**jim**, Saturday, October 10, 2009 at 12:25pmI'm not exactly sure what (1) is asking. General considerations? An exemplar? Anyway, a stack has only two operations:

push something in;

pop something out.

You will need space in which to store the items on the stack. Start with the items. What data types will you be storing? Stacks are most commonly used for integer addresses, but you need to consider what your implementation will be. The space can be preallocated in one big lump, if you specify a limitation that your stack cannot grow beyond a certain size. That makes your implementation easier than the alternative, which is to allocate new space every time a new item is pushed, and possibly deallocate it when an item is popped, or let it grow, and then deallocate it when some threshold is reached.

Now you can consider the methods themselves. Let's assume you have the easiest case, which involves a fixed-size (or elastic, with the O/S doing the allocation work for you) linear array. You must have set up:

1) an array

2) a pointer to the latest entry in that array

Push implies

a) increment pointer into the array

b) copy item to the array item of current pointer

and Pop implies

a) copy array item at current pointer position into return value

b) decrement pointer

Things to consider: what happens if the pointer is about to exceed its specified limit? what happens if a pop request would decrement the pointer below its zero value?

As for (2), I suggest you start, and ask again about any problems you have. It seems to me that the hardest part of this, like many programming issues, is the input and output - in this case, how to handle the ins and outs and organize the data for matrices of wildly different shapes, and validate that they can be multiplied at all - rather than the matrix multiplication itself, which is relatively easy.

Where to start? Work a simple case, to allow you to think about the method. How do you multiply two 2x2 matrices? Work that theough step by step. What data structure do you need? What algorithm? When you've done that, consider how to adapt it for a different shape of matrix. BASIC - well, most BASICs, I suppose, since I haven't used them all - are a bit limiting in terms of what you can DIM at runtime; in BASIC, I'd be inclined to DIM a whopping big single-dimension array for each of my matrices and manage the dimensions with a couple of pointers.

(3) is really very simple, when compared with the other two.

**Answer this Question**

**Related Questions**

Programming & Algorithms - Consider the algebraic expression E=(2x+y) (5a-b)^3. ...

Programming - (i) What is binary tree (ii) Write a program to multiply any two ...

Computers - Problem-Solving 1. Develop an algorithm or write pseudocode to ...

It/210 Axia College - Design complex program algorithms using the three basic ...

Max 2 - what is the effect of the delete operations on stack and queue. design ...

programming - Step 1: Design a flowchart or write pseudocode for a program that ...

Visual Basic (Computer Programming) - ALGORITHM EXERCISES 1. Wilma Peterson is ...

visual basic programming - Write a Visual Basic program that will calculate the...

Programing - consider the algebraic expression E=(2x + y) (5a-b)^3. Draw the ...

programming - Consider the following input and output: INPUT: (((5 + 1) – (7 – 4...