Ma170 Wk1 & Wk2 Dq

Week 1 DISCUSSION; Digital TV Services

The approach I am taking in finding the equation for this question is to open the book and hope we are sequentially going to start in chapter 1. Therefore, I am choosing “The Distance Formula”.

The steps are;

d=x2-x12+y2-y12

First I substitute the values of the points into the formula. 4-02+25-52

Next I work the problem within each parenthesis. 16+400

Next I add 16 and 400. 416

Next I rewrite 416 (factor 16 out of 416) as; 426

Lastly I pull the terms out from the radical. 426 ≈20.396

The percentage of homes with digital service at beginning of 2001 was; 20.4%.

Week 2 DISCUSSION; Scaler Multiplication vs Matrix Multiplication

Scaler multiplication involves multiplying ONE matrix by a constant (scaler). It is one number multiplied by another. It is an alternative to repeated addition. Scaler multiplication is always commutative (a*b=B*a). The operation involves distribution (similar to multiplying an equation by 7). Take the number outside the matrix (known as the scaler) and multiply it to each and every entry or element of the matrix.

Example; I will perform the indicated operation for 2A. I will take the scaler 2 and distribute by multiplying it to each entry of matrix A.

Since matrix A is A=-5 2 07-3 4-1 3 2 , then 2A is solved by the following;

2A=2*-5 2 07-3 4-1 3 2

=2-5 22 2(0)27 2-3 2(4)2-1 23 2(2)

2A=-10 4 014 -6 8-2 6 4

Matrix multiplication involves multiplying TWO matrices together. This operation involves a linear combination of numbers – the sum of products. Each spot of the product matrix is calculated by taking a linear combination of the numbers from the row of the first matrix and the column of the second matrix. First thing we must to is to ensure the two matrices are allowed to be multiplied together. If not, the two matrices are incompatible to be multiplied. When this is the case the solution is “undefined”. To determine if the matrices can be multiplied...