diff options
| author | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
|---|---|---|
| committer | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
| commit | 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 (patch) | |
| tree | dbb9e3ddb5fc829e7c5c7e6be99b2c4ba356132c /3293/CH8/EX8.23/Ex8_23.sce | |
| parent | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff) | |
| download | Scilab-TBC-Uploads-7f60ea012dd2524dae921a2a35adbf7ef21f2bb6.tar.gz Scilab-TBC-Uploads-7f60ea012dd2524dae921a2a35adbf7ef21f2bb6.tar.bz2 Scilab-TBC-Uploads-7f60ea012dd2524dae921a2a35adbf7ef21f2bb6.zip | |
initial commit / add all books
Diffstat (limited to '3293/CH8/EX8.23/Ex8_23.sce')
| -rw-r--r-- | 3293/CH8/EX8.23/Ex8_23.sce | 33 |
1 files changed, 33 insertions, 0 deletions
diff --git a/3293/CH8/EX8.23/Ex8_23.sce b/3293/CH8/EX8.23/Ex8_23.sce new file mode 100644 index 000000000..ec9cd79f0 --- /dev/null +++ b/3293/CH8/EX8.23/Ex8_23.sce @@ -0,0 +1,33 @@ +//page 301
+//Example 8.23
+clc;
+clear;
+close;
+disp('Linear transformation from V into W i.e. T is:');
+disp('T(x1,x2,x3) = ');
+disp('0 -x3 x2');
+disp('x3 0 -x1');
+disp('-x2 x1 0');
+disp('Then, T maps V onto W');
+disp('And, putting:');
+disp('A = ');
+disp('0 -x3 x2');
+disp('x3 0 -x1');
+disp('-x2 x1 0');
+disp('B = ');
+disp('0 -y3 y2');
+disp('y3 0 -y1');
+disp('-y2 y1 0');
+disp('we get,');
+disp('tr(AB'') = x3*y3 + x2*y2 + x1*y1 + x3*y3 + x2*y2 + x1*y1');
+disp('tr(AB'') = 2*(x1*y1 + x2*y2 + x3*y3)');
+disp('Thus, (a|b) = (Ta|Tb)');
+disp('T is vector space isomorphism');
+disp('T contains the standard and orthonormal basis consisting of matrices A1,A2,A3');
+A1 = [0 0 0;0 0 -1;0 1 0];
+A2 = [0 0 1;0 0 0;-1 0 0];
+A3 = [0 -1 0;1 0 0;0 0 0];
+disp(A1,'A1 = ');
+disp(A2,'A2 = ');
+disp(A3,'A3 = ');
+//end
|