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Engineering Maths · Q92

Linear Algebra

Engineering and GATE · Engineering Maths · question 92

Q92

The determinant \[ | array*20c 1 + b& b&1 \\ b&1 + b&1 \\ 2&2 b&1 array |\] equals to

The determinant \left| {\begin{array}{*{20}{c}} {1 + {\text{b}}}&{\text{b}}&1 \\ {\text{b}}&{1 + {\text{b}}}&1 \\ 2&{2{\text{b}}}&1 \end{array}} \right|    equals to
A.
0
Answer
B.
2b(b - 1)
C.
2(1 - b) (1 + 2b)
D.
3b(1 + b)

Answer: Option A

Solution

Answer: Option A
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