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NEKG33 Mathematical methods for economists
Chapter 23
Matrix multiplication
Dot product
Matrix multiplication, dimension
Matrix multiplication, computation
Matrix multiplication, rules
Matrix multiplication: Problems
Problem: Input and output vectors
Problem: Input and output vectors
Problem: Matrix products
Problem: Matrix algebra
Problem: Matrix algebra
Problem: The distributive law for matrices
Problem: Matrix products
Problem: Idempotent matrices
Problem: Transpose matrix expressions
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Chapter 23
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Matrix multiplication, dimension
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Summary
If
\(A\)
is
\(n×m\)
and
\(B\)
is
\(k×l\)
then the product
\(AB\)
is defined only if
\(m=k\)
. In this case,
\(AB\)
has dimension
\(n×l\)
.