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Let A=[[a,b],[c,d]] be a 2xx2 real matri...

Let `A=[[a,b],[c,d]]` be a `2xx2` real matrix. If `A-alphaI` is invertible for every real number `alpha` , then

A

`bc gt 0`

B

bc =0

C

`bc gt "min" (0,(1)/(2) ad) `

D

a=0

Text Solution

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The correct Answer is:
C
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