This is Quiz 3 worked out.
restart:
with(linalg):
A:=matrix(3,3,[1,2,3,4,5,6,7,8,9]);
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
E1:=matrix(3,3,[1,0,0,0,-2,0,0,0,1]);
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
E2:=matrix(3,3,[1,0,0,0,0,1,0,1,0]);
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
E3:=matrix(3,3,[1,0,0,0,1,-2,0,0,1]);
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
E4:=matrix(3,3,[1,0,0,0,1,0,3,0,1]);
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
evalm(E1&*A);
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
evalm(E2&*A);
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
evalm(A);
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
evalm(E3&*A);
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
evalm(E4&*A);
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
We now compute the Frobenius Norm several different ways (we got lazy and took the square root only once...)
normval:=0:
for j from 1 to 3 do
for k from 1 to 3 do
normval:=normval + A[j,k]^2:
end do:
end do:
sqrt(normval);
KiQpIiQmRyMiIiIiIiNGJg==
evalf(%);
JCIrLVY+KW8iISIp
?sum
sum(A[1,m]^2+A[2,m]^2+A[3,m]^2,m=1..3);
sum(A[n,1]^2+A[n,2]^2+A[n,3]^2,n=1..3);
IiQmRw==
IiQmRw==
sum(sum(A[n,m]^2,n=1..3),m=1..3);
sum(sum(A[n,m]^2,m=1..3),n=1..3);
IiQmRw==
IiQmRw==