Linear Algebra Quiz # 4(BEE-2A) Date: -12-11
Name: Reg #:
Question:
Find orthonormal basis of using [
].
Solution:
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For , eigenvectors are
[
][
] [
]
[
] [
] [
] [
]
Let [
] [
]. Now ( ) ( ) are orthogonal.
For , eigenvector is
[
][
] [
] [
] [
] [
]
For , eigenvector is
[
][
] [
] [
] [
] [
]
Let [
] [
]. Now are orthogonal.
Orthonormal eigenvectors are
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