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First row of a matrix A is . If then a possible value of det(A) is
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Correct option is A
We know thatdet(A)=a11A11+a12A12+a13A13=(1)(−2)+(3)(−1)+(2)(3α)=6α−5and (det(A))2=det(adjA)=11α−10Thus, (6α−5)2=11α−10⇒ 36α2−71α+35=0⇒ α=1,35/36Therefore, a possible value of det(A) is 1.Similar Questions
If [ ] denotes the greatest integer less than or equal to the real number under consideration, and ,, then the value of the determinant is
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