Solveeit Logo
Login

Question

Mathematics Question on Applications of Determinants and Matrices

If∣1xx2 xx21 x21x∣=7 and △=∣x3−10x−x4 0x−x3x3−1 x−x4x3−10∣,then\text{If} \begin{vmatrix} 1 & x & x^2 \\\ x & x^2 & 1 \\\ x^2 & 1 & x \end{vmatrix} = 7\ \text{and}\ \triangle = \begin{vmatrix} x^3 - 1 & 0 & x - x^4 \\\ 0 & x - x^3 & x^3 - 1 \\\ x - x^4 & x^3 - 1 & 0 \end{vmatrix}, \text{then}

A

△=-9

B

△=7

C

△=49

D

△= 343

Answer

△=49

Explanation

Solution

The correct option is (C): △=49