# Question:Maple not doing matrix mult

## Question:Maple not doing matrix mult

Here is my code

restart;
with(LinearAlgebra):
P := unapply(Matrix(4, 4, {(1, 1) = p[w], (1, 2) = p[x], (1, 3) = p[y], (1, 4) = p[z], (2, 1) = -p[x], (2, 2) = p[w], (2, 3) = -p[z], (2, 4) = p[y], (3, 1) = -p[y], (3, 2) = p[z], (3, 3) = p[w], (3, 4) = -p[x], (4, 1) = -p[z], (4, 2) = -p[y], (4, 3) = p[x], (4, 4) = p[w]}),(p[w],p[x],p[y],p[z]));
evalm(P(x,y,z,w));

(y1, y2, y3, y4) -> rtable(1 .. 4, 1 .. 4, {(1, 1) = y1,

(1, 2) = y2, (1, 3) = y3, (1, 4) = y4, (2, 1) = -y2,

(2, 2) = y1, (2, 3) = -y4, (2, 4) = y3, (3, 1) = -y3,

(3, 2) = y4, (3, 3) = y1, (3, 4) = -y2, (4, 1) = -y4,

(4, 2) = -y3, (4, 3) = y2, (4, 4) = y1}, datatype = anything,

subtype = Matrix, storage = rectangular, order = Fortran_order)

S:=Matrix(3,5):
for j from 1 to 3 do;
for k from 1 to 5 do;
S[j,k]:=P(seq(RandomTools[Generate](integer(range = 0 .. 4)),i=1..4));;
end do:
end do:
S;
W:=Matrix(3,5):
for j from 1 to 3 do;
for k from 1 to 5 do;
W[j,k]:=Transpose(S[j,k]);;
end do:
end do:
W;

M:=Matrix(3,3,shape=symmetric):
for j from 1 to 3 do;
for k from 1 to j do;
M[j,k]:=P(x[j,k],y[j,k],z[j,k],w[j,k]);
end do:
end do:
M;
N:=Matrix(3,3,shape=antisymmetric):
for j from 1 to 3 do;
for k from j+1 to 3 do;
N[j,k]:=P(u[j,k],v[j,k],q[j,k],r[j,k]);
end do:
end do:
N;
H:=M+N;
(Transpose(W)[2].H.Transpose(Transpose(S)[2]));

I would like the output to be a 4x4 matrix.

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