Dimensions of Matrix

http://4.bp.blogspot.com/_12XEmpoNZy0/TI7NcHNjOmI/AAAAAAAAQOs/0vHIXoK_RbQ/s320/2x2_square.jpg

Thia ia a 2*2 MARIX

http://coachillclass-algii.blogspot.com/

1,3

http://1.bp.blogspot.com/_12XEmpoNZy0/TI7NfpdSY3I/AAAAAAAAQPE/ClM9fIJ6vY4/s320/3x3_square.jpg

1,3

http://1.bp.blogspot.com/_12XEmpoNZy0/TI7NfpdSY3I/AAAAAAAAQPE/ClM9fIJ6vY4/s1600/3x3_square.jpg

3,3

http://1.bp.blogspot.com/_12XEmpoNZy0/TI7NdQLPGTI/AAAAAAAAQO0/fNm6S5sgjV8/s1600/3x2.jpg.

3,2

http://1.bp.blogspot.com/_12XEmpoNZy0/TI7Neok2hoI/AAAAAAAAQO8/712PtJy-_4E/s1600/3x3_indentity.jpg

3,3

Error Analysis

http://2.bp.blogspot.com/_y62bUPRm_F8/TIWKIbktdsI/AAAAAAAAABE/TemCsmLq4cw/s1600/Page_4_Problem_9.jpg

Value of x is going up by 5 and the slope should be 10/5 or 2 not 10/1. Inserting the points, the final equation will be solved.  Y is not equal to 9+10x in the chart

http://1.bp.blogspot.com/_y62bUPRm_F8/TIWOx17uW_I/AAAAAAAAABM/Ukvh50eIPIA/s1600/Page_8_Problem_16.jpg

To have a point it must try to solve both equations. So (1,2) only solves the first one and not the second one

http://3.bp.blogspot.com/_y62bUPRm_F8/TIWPgyUgP7I/AAAAAAAAABU/-9Y0qel_LnM/s1600/Page_19_Problem_22_and_23.  

 20)shading is correct
  should be dotted line and not solid .
 #21 the solid line is correct, but the shading should be below the line, not above it.

http://4.bp.blogspot.com/_y62bUPRm_F8/TIWQyeLDOYI/AAAAAAAAABc/9X9WU4CNiug/s1600/Page_21_Problem_20_and_21.jpg

Graphing y=a|x-h|+k

y = a|x - h| + k

Although most books won't call the point (h,k) the vertex (as in quadratics) but it will either be a maximum or minimum value for the absolute value function.

If a > 0 , then (h,k) is the lowest point of the graph.  (opens upward)

If a < 0 , then (h,k) is the highest point of the graph.  (opens downward)

Types of Systems

Case 1	Case	Case 3

Independent system: one solution point	Case 2	Case 3

Independent system: one solution and one intersection point	Inconsistent system: no solution and no intersection point	Case 3

Independent  and consistent system: one solution and one intersection point	Inconsistent system: no solution and no intersection point	Dependent system: the solution is the whole line