TI-92 CAS Window -- Vectors, II
Two, Three, ... N, ... Infinity
Compared to a high resolution color computer monitor the TI-92 screen is very
limited in its ability to display images. We will work with a program
showpict that you can either
type in or
download using the TI-Graph
Link in the usual way.
This program displays an image made up of five rows of five rather large
"pixels" and represented by a (5 by 5)-matrix. Because the TI-92
screen is limited there are only theee possible brightnesses for each pixel.
- If a pixel's mathematical brightness is zero it should be black. The pixel
will be colored black if its mathematical brightness is less than 1/3.
- If a pixel's mathematical brightness is one it should be white. The pixel
will be colored white if its mathematical brightness is greater than 2/3.
- If a pixel's mathematical brightness is 1/2 it should be a gray halfway between
black and white. The pixel
will be colored this shade of gray if its mathematical brightness is
between 1/3 and 2/3.
The screens below show a (5 by 5)-matrix and the image produced from
this matrix using showpict. You may want to look at the
TI-92 help module for matrices
for information on entering and working with msatrices on the TI-92.
Find the matrix T that represents the "T" shown below.
Check your answer by using showpict to display the image represented
by your matrix. Note: the program showpict takes quite a while
to display an image.
Find the matrix L that represents the "L" shown below.
Check your answer by using showpict to display the image represented
by your matrix.
Calculate the matrix (1/2) L + (1/2) T and display the image represented
by this new matrix.
Copyright c 1995 by
Frank Wattenberg, Department of Mathematics, Montana State University,
Bozeman, MT 59717