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MAM2000W 2LA NOTES
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A comprehensive summary with examples of the theory and application of 2LA in MAM2000W at UCT
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By: xunzhu180203 • 1 year ago
It’s quite expensive notes for a 1 semester notes but yet there are so many things missing such as the Cramer’s Rule and a a lot theorems are missing just from determinants chapter. Definitely not quality notes and does not match with the price at all
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LinearAlgebra
,
, DEFINITION: Let A be an matrix,
A scalar is called an A if there is
vector "x" Such that : Such a vector x is called an
* corresponding to
EXAMPLE : Show that [27 an
A: 3 to
correspanding
SOLUTION: 3
-
3.2 +
3.2 +
of correspanding to
is an
the Cigenvalue
1a 4
, How To FIND EIGENVALLES/VECTORS
To Solve for the eigenvalues 1 Ai , and the
at an matrix A elo the
0 Multiply an
identity_ matrix by the Scalar, 2.
i Subtract the
identity matrix multiple from the matms A
0:
0 Find the determinaot of the matrix difference
and the
0 Solve for the volues of 1 (hat the equatign
det CA- RI= o
5) Solve the
corresponding vector to each 2.
Find the eigenvalues and of the matrix
Solution : 21:
A - AI=
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