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If A=[(alpha, 0, 0),(0,alpha, 0),(0,0,al...

If `A=[(alpha, 0, 0),(0,alpha, 0),(0,0,alpha)]` then the valueof
(i) `|A||Adj.A|` and
(ii) `|Adj.A|` is equal to

A

`alpha^(3)`

B

`alpha^(6)`

C

`alpha^(9)`

D

`alpha^(27)`

Text Solution

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The correct Answer is:
B
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ML KHANNA-MATRICES-PROBLEM SET(1) (MULTIPLE CHOICE QUESTIONS)
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  3. If A=[(alpha, 0, 0),(0,alpha, 0),(0,0,alpha)] then the valueof (i) |...

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  6. If A is a singular matrix then Adj is

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  7. Let A be a 2xx2 matrix. Statement 1: adj(adjA)=A Statement 2: |adjA...

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  15. If A=[(3,0,0),(0,2,0),(0,0,1)] then A is

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  16. Let A=[(1,1,3),(5,2,6),(-2,-1,-3)] then A is

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  18. If A and B symmetric matrices of the same order then AB-BA is a matrix...

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