CSIR NET MATHEMATICS NOV 2020 | Linear Algebra | trace of a matrix

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CSIR NET MATHEMATICS NOV 2020 | Linear Algebra | trace of a matrix
Linear Algebra, trace of a matrix,
CSIR NET, Answer Key Nov 2020, Mathematical Science, Helpful those who are preparing for NET, GATE, SET, SLET exams
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Комментарии
Автор

(λ1)^2 +(λ2)^2= (λ1+λ2)^2 - 2λ1λ2
= (3)^2 - 2(1)= 9-2=7
To avoid quadratic equation, we can use Vieta's theorem

satyamshukla
Автор

Hello sir,
I'd one quiry ... IF A=I-B
Where I is identity matrix (9×9) and B (9×9) is also given . They said that find eigenvalues of A so my question is if i find eigenvalues of I and B and take substraction..Then that eigenvalues are also of A ...Is it valid statement..? ...
Thanks .

akashgargate
Автор

Can we just apply trace in the characteristic equation which is x^2- traceA x+1=0 on both sides

ajmal