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Diffstat (limited to '3293/CH5/EX5.4')
-rwxr-xr-x | 3293/CH5/EX5.4/Ex5_4.sce | 23 |
1 files changed, 23 insertions, 0 deletions
diff --git a/3293/CH5/EX5.4/Ex5_4.sce b/3293/CH5/EX5.4/Ex5_4.sce new file mode 100755 index 000000000..f2a2e8539 --- /dev/null +++ b/3293/CH5/EX5.4/Ex5_4.sce @@ -0,0 +1,23 @@ +//page 145
+//Example 5.4
+clc;
+clear;
+close;
+x = poly(0,"x");
+A = [x 0 -x^2;0 1 0;1 0 x^3];
+disp(A,'A = ');
+disp('e1,e2,e3 are the rows of 3*3 identity matrix, then');
+T = eye(3,3);
+e1 = T(1,:);
+e2 = T(2,:);
+e3 = T(3,:);
+disp(e1,'e1 = ');
+disp(e2,'e2 = ');
+disp(e3,'e3 = ');
+disp('D(A) = D(x*e1 - x^2*e3, e2, e1 + x^3*e3)');
+disp('Since, D is linear as a function of each row,');
+disp('D(A) = x*D(e1,e2,e1 + x^3*e3) - x^2*D(e3,e2,e1 + x^3*e3)');
+disp('D(A) = x*D(e1,e2,e1) + x^4*D(e1,e2,e3) - x^2*D(e3,e2,e1) - x^5*D(e3,e2,e3)');
+disp('As D is alternating, So');
+disp('D(A) = (x^4 + x^2)*D(e1,e2,e3)');
+//end
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