Linear AlgebraPDF file please

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Answered Same Day May 13, 2021

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Rajeswari answered on May 14 2021

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57751 assignment
Math 511 final exam
1) Trace of A = sum of diagonal elements = 2
1.2 Det A = 0 since R2 = -R1
1.3 Eigen values are calculated as
A-?I =0
We get
=0
Solving we get
-(?+2)( ?-4) =0
Thus eigen values are
?=-2, 0,4 in ascending order.
Co
esponding eigen vectors are
Eigen vectors are in the same orde
,’-
It is possible to get orthonormal bases because we got 3 solutions for eigen values and 3 distinct eigen vectors for each one. Hence these eigen vectors form an orghonormal base.
1.4 D =
To diagonalise this.
We get identity matrices for Q and Q transpose.
This is because these vectors are independent...

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