S.S. writes:
Chapter 4 was all about matrices. Or singular Matrix. The first two (2) sections were about data in matrices, and basic addition. Section 4-3 was about multiplying matrices, using a complex methos which involves correspondence, multiplication and continuos addition. Size changes was the next chapter discussed. That involes multiplication and size change magntiude called k. Scale changes are denoted S, then two small numbers indicating the change horizontally and then veritcally. For example, S 2,3 would be doubling the x coordinate and tripling the y coordinate. Reflection matrices involve reflecting over both axes, using 3 formulas: r suby, r subx, and r subx+y. Transformations make the matrix points move and rotate around the coordinate plane. Perpendicular lines involves previous formulas like slope, distance and midpoint. Slides and parallel lines were used so we could deduce slopes, and translations. This matrix chapter was interesting.

C.A. writes:
In chapter four, the focus was on matrices. Throughout the chapter, different methods were learned to add, multiply, and subtract matrices. In addition, the scale changes, size changes, reflections, rotations, and translations were studied and compared. As usual, the assignments given and the lesson masters completed help to further my understanding of the information. They definetely helped to a seemingly difficult chapter quite easy.

D.U. writes:
Chapter 4 dealt with the multiplication addition, subtraction and transformations of matrices. Besides learning how to add subtract and multiply matrices we were also taught to describe graphs in matrix format as well as represent geometric transformations such as translations, rotations, scale/size changes and reflections through matrix formats. Furthermore, we were taught to describe everyday problems in matrix format, many of them dealing with sums and finances. Although matrices are hard they are an important part of representing real world and geometry situations in algebra format.

A.K. writes:
In chapter four we learned how to use matricies. We learned how to add subtract and multiply them. We also learned how to represent figres on the graph with matricies. One you have a matrix for a figure you can perfom size changes, translations, relfections, and rotations using the matrix. In short we learned how to use matricies.

M.B. writes:
Chapter four was matrix, matrix, matrix. We started simple, learning to add and subtract matrixes. Eventually we (or some of us) learned how to multiply matrix. I even learned when you can and when you cannot multiply two matrixes. We had an interesting way of sitting, right 0,0?? I liked how we got names based on our rows and columns. A big R stands for rotation while a little r is a reflection. Matrix multiplication is associative, which deals with parentheses, like (AB)C=A(BC). We learned about the identity matrix, which is even after you multiply x,y by it, (one zero zero one) you still end up with x,y. We also learned how to determine the new equation for the line perpendicular to a line (meaning it has the opposite slope in recripol and neg vs pos) and change the value of b, the y intercept, so that it goes throught the point you want it to. we learned m1m2=-1 for perpendicular lines. We also learned about transformations of polygons, and how to make a new matrix with r little subscript s so s = matrix 0330. It was a great chapter with a few interesting learning techniques.
N.G. writes:
In chapter 4 we reviewed matrices and rotations. Matrices can store data and solve problems with groups of numbers. Our class learned how to multiply, add, and subtract matrices from one another. We learned the different matrices which represented certain rotations and reflections, as well as size and scale changes in matrices.

S.B. writes:
Chapter 4 was all about the matrices. We did everything you can possibly do to them. We added, we subtracted, we multiplied, we divided and much much more. We also used matrices in assosiation with other formulas like the distance formula and the slope intercept formula. We graphed matrices and on the graph we rotated, reflected and translated teh points. We also learned how to do all this stuff with out actually graphing it. We also delt with parallel lines and perpendicular lines in graphs of matrices. We ahd lots of fun in chapter 4!!!!!

E.W. writes:
In my opinion this chapter was very hard! Actually you just need to understand it, and i had a little trouble understanding it. The lesson was basically about metrices. First off, we learned how to store data in metrices. WE then olearned how to add and then the confusing part, how to multiply metrices. Then it got a little more confusing with Metrices for size change. And then a little different thing, metrices for scale change. Then we learned about metrices for reflections. Then transformations of metrices was a little easier. Moving on to rotations was easy and then lasty but not least, Rotations and perpendicular lines and parallel lines was not bad. In all this chapter was a little confusing, eventually with a little help i figured it out.

K.W. writes:
Chapter 4 dealt mainly with matrices. We learned basically everything about them: how to add and subract them, how to multiply them, how to apply them when using size changes, reflections, rotations, transformations and translations. It was a good blend of information about matrices, although I had some problems with multiplying them because it was really tricky. But the book explained it well and it turned out that matrices were really easy.