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The product of a 9xx4 matrix and a 4xx9 ...

The product of a `9xx4` matrix and a `4xx9` matrix contains a variable x in exactly two places. If D(x) is the determinant of the matrix product such that `D(0)=1, D(-1)=1 and D(2)=7,` then `D(-2)` is equal to

A

`D(-2)=3`

B

`D(1)=3`

C

`D(-3)=7`

D

`D(1)=2`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
`D(x)` can at most be polymial of degree 2
`D(x)=ax^(2)+bx+c`
`D(x)=x^(2)+x+1`
`D(1)=3`
`D(-2)=4-2+1=3`
`D(-3)=9-3+1=7`
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