Wedenotematriceswithcaps a 1 5 7 2 4 14 8 9 1 2 4 7 5

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Unformatted text preview: *bi •  The
length
of
a
vector
is
given
by
the
square
 root
of
the
inner
product
of
the
vector
by
self
 l= ∑a a * ii i Matrices
 •  Like
vectors,
set
of
ordered
numbers,
now
 with
two
indices
(first
for
rows,
second
for
 columns).
We
denote
matrices
with
CAPS.
 ⎛ ⎜ A=⎜ ⎜ ⎜ ⎝ 1 5 7 2⎞ 4 14 8 9 ⎟ ⎟ 1 2 4 7⎟ 5 25 3 3 ⎟ ⎠ A23 = 8 •  Matrix
mul2plica2on
is
defined
as
(the
 number
of
columns
of
A
must
be
the
same
as
 the
number
of
rows
in
B).
The
result
is
a
 matrix
 Cij = ∑ Aik Bkj k Adding
matrices
(example)
 •  A=A+B
 ⎛3 6⎞ A=⎜ ⎝2 1⎟...
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