- #1
kockabogyo
- 3
- 1
1. Given [itex]A,B\in Mat _n(\mathbb{R})[/itex]
2. Show that:
a) [itex]\det (A^2 + A + E)\geq 0[/itex]
b) [itex]\det (E+A+B+A^2+B^2)\geq 0[/itex] ,
where [itex]E[/itex] is the unit matrix.3. My attempt at a solution
[itex]A^2 + A + E[/itex]=[itex](A + E)^2 -2A[/itex]
https://drive.google.com/file/d/0B8zKPTh1siSsOHNWQnBfaXR3QXM/view?usp=sharing
pleas give me tips to solve
2. Show that:
a) [itex]\det (A^2 + A + E)\geq 0[/itex]
b) [itex]\det (E+A+B+A^2+B^2)\geq 0[/itex] ,
where [itex]E[/itex] is the unit matrix.3. My attempt at a solution
[itex]A^2 + A + E[/itex]=[itex](A + E)^2 -2A[/itex]
https://drive.google.com/file/d/0B8zKPTh1siSsOHNWQnBfaXR3QXM/view?usp=sharing
pleas give me tips to solve
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