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Mathematics
Mathematics
Problem
Let
A
A
A
be a
3
×
k
3\times k
3
×
k
matrix,
B
B
B
be a
k
×
2
k\times2
k
×
2
matrix and
C
C
C
be a
2
×
5
2\times5
2
×
5
matrix. The product
A
B
C
ABC
A
B
C
is defined. (i) Determine the value of
k
k
k
. (ii) Find the number of elements in the matrix
A
B
C
ABC
A
B
C
.
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