Theyare thesameonlyifthematrixaissymmetricie aijaji

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Unformatted text preview: ⎠ ⎛ 0 −2 ⎞ B=⎜ ⎝5 8⎟ ⎠ ⎛ 3 6 ⎞ ⎛ 0 −2 ⎞ C = A+ B=⎜ ⎟ +⎜ 5 8 ⎟ ⎝2 1⎠ ⎝ ⎠ ⎛ 3+ 0 6 − 2 ⎞ ⎛ 3 4 ⎞ C=⎜ ⎟ =⎜ 7 9 ⎟ ⎝ 2 + 5 1+ 8 ⎠ ⎝ ⎠ Example
for
matrix
mul2plica2on
 ⎛ 1 2 ⎞ ⎛ 5 6 ⎞ ⎛ 1⋅ 5 + 2 ⋅ 7 1⋅ 6 + 2 ⋅ 8 ⎞ ⎜ 3 4 ⎟ ⎜ 7 8 ⎟ = ⎜ 3⋅ 5 + 4 ⋅ 7 3⋅ 6 + 4 ⋅ 8 ⎟ ⎝ ⎠⎝ ⎠⎝ ⎠ ⎛ 19 22 ⎞ =⎜ ⎝ 43 50 ⎟ ⎠ Vector‐matrix
mul2plica2on
 •  Vector
mul2plica2on
of
a
matrix
gives
a
vector
 ⎛ 3⎞ a=⎜ ⎝5⎟...
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