Question

please solve this question:​

Answer 1

Answer:

the other hand job and of man.

Answer 2

Step-by-step explanation:

Characteristic eqn |A- λI| =0

i.e. ∣∣∣∣1−λ−1023−λ−2−201−λ∣∣∣∣=0

Expanding we get a cubic equation in λ, as λ3−5λ2+7λ−3=0

By C-H theorem we have A3−5A2+7A–3I=0 ……….(1)

To find the value of given matrix eqn , divide the matrix eqn

A8−5A7+7A6−3A5+A4−5A3+8A2−2A+I by the L.H.S. of eqn (1),

we get quotient A5+A & the remainder A2+A+I ,it can be written as

A8−5A7+7A6−3A5+A4−5A3+8A2−2A+I

= (A3−5A2+7A–3I)(A5+A)+(A2+A+I)

=A2+A+I ( using eqn 1)

=⎡⎣⎢504414405⎤⎦⎥+⎡⎣⎢201111102⎤⎦⎥+⎡⎣⎢100010001⎤⎦⎥=⎡⎣⎢805535508⎤⎦⎥