Question

If A= [2 3] [4 5] matrix find the characteristic roots of A​

Answer 1

A

1,−4,7

A=

⎣

⎢

⎢

⎡

1

0

0

2

−4

0

3

2

7

⎦

⎥

⎥

⎤

so,By cayley Hamilton theorem,

[∣A−λI∣]=0 is characteristic equation

So,

∣

∣

∣

∣

∣

∣

∣

∣

1−λ

0

0

2

λ−4

0

3

2

7−λ

∣

∣

∣

∣

∣

∣

∣

∣

=0

(1−λ)(λ−4)(7−λ)=0

so,λ=1,4,+7.

these are characteristic solution.

thank you for adding my answer brainlistin list

Answer 2

Answer:

23 2×4 + 3×5

8+15=23 here 2 and 4 and 3and 5 multiply and the sum is our Answer